diff --git a/analysis/low-level-api-fir/tests/org/jetbrains/kotlin/analysis/low/level/api/fir/diagnostic/compiler/based/DiagnosisCompilerFirTestdataTestGenerated.java b/analysis/low-level-api-fir/tests/org/jetbrains/kotlin/analysis/low/level/api/fir/diagnostic/compiler/based/DiagnosisCompilerFirTestdataTestGenerated.java
index 044aa9e1f4f..d9403b67808 100644
--- a/analysis/low-level-api-fir/tests/org/jetbrains/kotlin/analysis/low/level/api/fir/diagnostic/compiler/based/DiagnosisCompilerFirTestdataTestGenerated.java
+++ b/analysis/low-level-api-fir/tests/org/jetbrains/kotlin/analysis/low/level/api/fir/diagnostic/compiler/based/DiagnosisCompilerFirTestdataTestGenerated.java
@@ -921,6 +921,12 @@ public class DiagnosisCompilerFirTestdataTestGenerated extends AbstractDiagnosis
                 runTest("compiler/fir/analysis-tests/testData/resolve/arguments/overloadWithDefault.kt");
             }
 
+            @Test
+            @TestMetadata("setWithTrailingLambda.kt")
+            public void testSetWithTrailingLambda() throws Exception {
+                runTest("compiler/fir/analysis-tests/testData/resolve/arguments/setWithTrailingLambda.kt");
+            }
+
             @Test
             @TestMetadata("simple.kt")
             public void testSimple() throws Exception {
@@ -957,6 +963,12 @@ public class DiagnosisCompilerFirTestdataTestGenerated extends AbstractDiagnosis
                 runTest("compiler/fir/analysis-tests/testData/resolve/arguments/vararg.kt");
             }
 
+            @Test
+            @TestMetadata("varargFromJava.kt")
+            public void testVarargFromJava() throws Exception {
+                runTest("compiler/fir/analysis-tests/testData/resolve/arguments/varargFromJava.kt");
+            }
+
             @Test
             @TestMetadata("varargOfLambdasWithReceiver.kt")
             public void testVarargOfLambdasWithReceiver() throws Exception {
diff --git a/compiler/fir/analysis-tests/legacy-fir-tests/tests-gen/org/jetbrains/kotlin/fir/LazyBodyIsNotTouchedTilContractsPhaseTestGenerated.java b/compiler/fir/analysis-tests/legacy-fir-tests/tests-gen/org/jetbrains/kotlin/fir/LazyBodyIsNotTouchedTilContractsPhaseTestGenerated.java
index c64365e3efe..2e14b330d35 100644
--- a/compiler/fir/analysis-tests/legacy-fir-tests/tests-gen/org/jetbrains/kotlin/fir/LazyBodyIsNotTouchedTilContractsPhaseTestGenerated.java
+++ b/compiler/fir/analysis-tests/legacy-fir-tests/tests-gen/org/jetbrains/kotlin/fir/LazyBodyIsNotTouchedTilContractsPhaseTestGenerated.java
@@ -784,6 +784,11 @@ public class LazyBodyIsNotTouchedTilContractsPhaseTestGenerated extends Abstract
             runTest("compiler/fir/analysis-tests/testData/resolve/arguments/overloadWithDefault.kt");
         }
 
+        @TestMetadata("setWithTrailingLambda.kt")
+        public void testSetWithTrailingLambda() throws Exception {
+            runTest("compiler/fir/analysis-tests/testData/resolve/arguments/setWithTrailingLambda.kt");
+        }
+
         @TestMetadata("simple.kt")
         public void testSimple() throws Exception {
             runTest("compiler/fir/analysis-tests/testData/resolve/arguments/simple.kt");
@@ -814,6 +819,11 @@ public class LazyBodyIsNotTouchedTilContractsPhaseTestGenerated extends Abstract
             runTest("compiler/fir/analysis-tests/testData/resolve/arguments/vararg.kt");
         }
 
+        @TestMetadata("varargFromJava.kt")
+        public void testVarargFromJava() throws Exception {
+            runTest("compiler/fir/analysis-tests/testData/resolve/arguments/varargFromJava.kt");
+        }
+
         @TestMetadata("varargOfLambdasWithReceiver.kt")
         public void testVarargOfLambdasWithReceiver() throws Exception {
             runTest("compiler/fir/analysis-tests/testData/resolve/arguments/varargOfLambdasWithReceiver.kt");
diff --git a/compiler/fir/analysis-tests/testData/resolve/arguments/setWithTrailingLambda.fir.txt b/compiler/fir/analysis-tests/testData/resolve/arguments/setWithTrailingLambda.fir.txt
new file mode 100644
index 00000000000..59b2b72ff83
--- /dev/null
+++ b/compiler/fir/analysis-tests/testData/resolve/arguments/setWithTrailingLambda.fir.txt
@@ -0,0 +1,38 @@
+FILE: setWithTrailingLambda.kt
+    public final fun test(m: R|MyMap<EditorData, kotlin/Any>|): R|kotlin/Unit| {
+        R|<local>/m|.R|SubstitutionOverride</MyMap.set: R|kotlin/Unit|>|<R|(kotlin/String, @R|kotlin/ParameterName|(name = String(bar))  kotlin/Any) -> kotlin/Unit|>(Q|SomeKey|, <L> = set@fun <anonymous>(<unused var>: R|kotlin/String|, <unused var>: R|@R|kotlin/ParameterName|(name = String(bar))  kotlin/Any|): R|kotlin/Unit| <inline=NoInline>  {
+            ^@set Unit
+        }
+        )
+        R|<local>/m|.R|SubstitutionOverride</MyMap.set: R|kotlin/Unit|>|<R|(kotlin/String, @R|kotlin/ParameterName|(name = String(bar))  kotlin/Any) -> kotlin/Unit|>(Q|SomeKey|, fun <anonymous>(<unused var>: R|kotlin/String|, <unused var>: R|@R|kotlin/ParameterName|(name = String(bar))  kotlin/Any|): R|kotlin/Unit| <inline=NoInline>  {
+            ^ Unit
+        }
+        )
+    }
+    public final data class EditorData : R|kotlin/Any| {
+        public constructor(meta: R|MyMap<EditorData, kotlin/Any>|): R|EditorData| {
+            super<R|kotlin/Any|>()
+        }
+
+        public final val meta: R|MyMap<EditorData, kotlin/Any>| = R|<local>/meta|
+            public get(): R|MyMap<EditorData, kotlin/Any>|
+
+        public final operator fun component1(): R|MyMap<EditorData, kotlin/Any>|
+
+        public final fun copy(meta: R|MyMap<EditorData, kotlin/Any>| = this@R|/EditorData|.R|/EditorData.meta|): R|EditorData|
+
+    }
+    public abstract interface MyMap<Domain, V : R|kotlin/Any|> : R|kotlin/Any| {
+        public abstract operator fun <T : R|V|> set(k: R|Key<T, Domain>|, v: R|T|): R|kotlin/Unit|
+
+    }
+    public abstract interface Key<V : R|kotlin/Any|, in Domain> : R|kotlin/Any| {
+    }
+    public abstract interface EditorDataKey<T : R|kotlin/Any|> : R|Key<T, EditorData>| {
+    }
+    public final object SomeKey : R|EditorDataKey<kotlin/Function2<kotlin/String, @R|kotlin/ParameterName|(name = String(bar))  kotlin/Any, kotlin/Unit>>| {
+        private constructor(): R|SomeKey| {
+            super<R|kotlin/Any|>()
+        }
+
+    }
diff --git a/compiler/fir/analysis-tests/testData/resolve/arguments/setWithTrailingLambda.kt b/compiler/fir/analysis-tests/testData/resolve/arguments/setWithTrailingLambda.kt
new file mode 100644
index 00000000000..223731f4619
--- /dev/null
+++ b/compiler/fir/analysis-tests/testData/resolve/arguments/setWithTrailingLambda.kt
@@ -0,0 +1,18 @@
+// ISSUE: KT-56714
+
+fun test(m: MyMap<EditorData, Any>) {
+    m.set(SomeKey) { _, _ -> }
+    m[SomeKey] = { _, _ -> }
+}
+
+data class EditorData(val meta: MyMap<EditorData, Any>)
+
+interface MyMap<Domain, V : Any> {
+    operator fun <T : V> set(k: Key<T, Domain>, v: T)
+}
+
+interface Key<V : Any, in Domain>
+
+interface EditorDataKey<T : Any> : Key<T, EditorData>
+
+object SomeKey : EditorDataKey<(String, bar: Any) -> Unit>
diff --git a/compiler/fir/analysis-tests/testData/resolve/arguments/varargFromJava.fir.txt b/compiler/fir/analysis-tests/testData/resolve/arguments/varargFromJava.fir.txt
new file mode 100644
index 00000000000..d345fb775b3
--- /dev/null
+++ b/compiler/fir/analysis-tests/testData/resolve/arguments/varargFromJava.fir.txt
@@ -0,0 +1,11 @@
+FILE: main.kt
+    public final class Some : R|kotlin/Any| {
+        public constructor(): R|Some| {
+            super<R|kotlin/Any|>()
+        }
+
+        public final fun test(handle: R|VarHandle|): R|kotlin/Unit| {
+            R|<local>/handle|.R|/VarHandle.set|(vararg(this@R|/Some|, Boolean(false)))
+        }
+
+    }
diff --git a/compiler/fir/analysis-tests/testData/resolve/arguments/varargFromJava.kt b/compiler/fir/analysis-tests/testData/resolve/arguments/varargFromJava.kt
new file mode 100644
index 00000000000..eede6330349
--- /dev/null
+++ b/compiler/fir/analysis-tests/testData/resolve/arguments/varargFromJava.kt
@@ -0,0 +1,11 @@
+// FILE: VarHandle.java
+public class VarHandle {
+    public void set(Object... args) {}
+}
+
+// FILE: main.kt
+class Some {
+    fun test(handle: VarHandle) {
+        handle.set(this, false)
+    }
+}
diff --git a/compiler/fir/analysis-tests/tests-gen/org/jetbrains/kotlin/test/runners/FirLightTreeDiagnosticsTestGenerated.java b/compiler/fir/analysis-tests/tests-gen/org/jetbrains/kotlin/test/runners/FirLightTreeDiagnosticsTestGenerated.java
index 2af3282deeb..91619d30583 100644
--- a/compiler/fir/analysis-tests/tests-gen/org/jetbrains/kotlin/test/runners/FirLightTreeDiagnosticsTestGenerated.java
+++ b/compiler/fir/analysis-tests/tests-gen/org/jetbrains/kotlin/test/runners/FirLightTreeDiagnosticsTestGenerated.java
@@ -921,6 +921,12 @@ public class FirLightTreeDiagnosticsTestGenerated extends AbstractFirLightTreeDi
                 runTest("compiler/fir/analysis-tests/testData/resolve/arguments/overloadWithDefault.kt");
             }
 
+            @Test
+            @TestMetadata("setWithTrailingLambda.kt")
+            public void testSetWithTrailingLambda() throws Exception {
+                runTest("compiler/fir/analysis-tests/testData/resolve/arguments/setWithTrailingLambda.kt");
+            }
+
             @Test
             @TestMetadata("simple.kt")
             public void testSimple() throws Exception {
@@ -957,6 +963,12 @@ public class FirLightTreeDiagnosticsTestGenerated extends AbstractFirLightTreeDi
                 runTest("compiler/fir/analysis-tests/testData/resolve/arguments/vararg.kt");
             }
 
+            @Test
+            @TestMetadata("varargFromJava.kt")
+            public void testVarargFromJava() throws Exception {
+                runTest("compiler/fir/analysis-tests/testData/resolve/arguments/varargFromJava.kt");
+            }
+
             @Test
             @TestMetadata("varargOfLambdasWithReceiver.kt")
             public void testVarargOfLambdasWithReceiver() throws Exception {
diff --git a/compiler/fir/analysis-tests/tests-gen/org/jetbrains/kotlin/test/runners/FirPsiDiagnosticTestGenerated.java b/compiler/fir/analysis-tests/tests-gen/org/jetbrains/kotlin/test/runners/FirPsiDiagnosticTestGenerated.java
index 9cf6eed532a..049ba02f714 100644
--- a/compiler/fir/analysis-tests/tests-gen/org/jetbrains/kotlin/test/runners/FirPsiDiagnosticTestGenerated.java
+++ b/compiler/fir/analysis-tests/tests-gen/org/jetbrains/kotlin/test/runners/FirPsiDiagnosticTestGenerated.java
@@ -921,6 +921,12 @@ public class FirPsiDiagnosticTestGenerated extends AbstractFirPsiDiagnosticTest
                 runTest("compiler/fir/analysis-tests/testData/resolve/arguments/overloadWithDefault.kt");
             }
 
+            @Test
+            @TestMetadata("setWithTrailingLambda.kt")
+            public void testSetWithTrailingLambda() throws Exception {
+                runTest("compiler/fir/analysis-tests/testData/resolve/arguments/setWithTrailingLambda.kt");
+            }
+
             @Test
             @TestMetadata("simple.kt")
             public void testSimple() throws Exception {
@@ -957,6 +963,12 @@ public class FirPsiDiagnosticTestGenerated extends AbstractFirPsiDiagnosticTest
                 runTest("compiler/fir/analysis-tests/testData/resolve/arguments/vararg.kt");
             }
 
+            @Test
+            @TestMetadata("varargFromJava.kt")
+            public void testVarargFromJava() throws Exception {
+                runTest("compiler/fir/analysis-tests/testData/resolve/arguments/varargFromJava.kt");
+            }
+
             @Test
             @TestMetadata("varargOfLambdasWithReceiver.kt")
             public void testVarargOfLambdasWithReceiver() throws Exception {
diff --git a/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/CallableReferenceResolution.kt b/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/CallableReferenceResolution.kt
index 5f148908380..178fb2d6dad 100644
--- a/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/CallableReferenceResolution.kt
+++ b/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/CallableReferenceResolution.kt
@@ -174,7 +174,7 @@ private fun BodyResolveComponents.getCallableReferenceAdaptation(
 
     val fakeArguments = createFakeArgumentsForReference(function, expectedArgumentsCount, inputTypes, unboundReceiverCount)
     // TODO: Use correct originScope
-    val argumentMapping = mapArguments(fakeArguments, function, originScope = null)
+    val argumentMapping = mapArguments(fakeArguments, function, originScope = null, callSiteIsOperatorCall = false)
     if (argumentMapping.diagnostics.any { !it.applicability.isSuccess }) return null
 
     /**
diff --git a/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/FirArgumentsToParametersMapper.kt b/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/FirArgumentsToParametersMapper.kt
index df0cc066c9d..4de2a1285cd 100644
--- a/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/FirArgumentsToParametersMapper.kt
+++ b/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/FirArgumentsToParametersMapper.kt
@@ -13,7 +13,6 @@ import org.jetbrains.kotlin.fir.declarations.FirValueParameter
 import org.jetbrains.kotlin.fir.declarations.utils.isOperator
 import org.jetbrains.kotlin.fir.expressions.*
 import org.jetbrains.kotlin.fir.expressions.builder.buildNamedArgumentExpression
-import org.jetbrains.kotlin.fir.isIntersectionOverride
 import org.jetbrains.kotlin.fir.isSubstitutionOrIntersectionOverride
 import org.jetbrains.kotlin.fir.resolve.BodyResolveComponents
 import org.jetbrains.kotlin.fir.resolve.defaultParameterResolver
@@ -65,6 +64,7 @@ fun BodyResolveComponents.mapArguments(
     arguments: List<FirExpression>,
     function: FirFunction,
     originScope: FirScope?,
+    callSiteIsOperatorCall: Boolean
 ): ArgumentMapping {
     if (arguments.isEmpty() && function.valueParameters.isEmpty()) {
         return EmptyArgumentMapping
@@ -87,7 +87,8 @@ fun BodyResolveComponents.mapArguments(
 
     // If this is an indexed access set operator, it could have default values or a vararg parameter in the middle.
     // For proper argument mapping, wrap the last one, which is supposed to be the updated value, as a named argument.
-    val isIndexedSetOperator = function is FirSimpleFunction
+    val isIndexedSetOperator = callSiteIsOperatorCall
+            && function is FirSimpleFunction
             && function.isOperator
             && function.name == OperatorNameConventions.SET
             && function.origin !is FirDeclarationOrigin.DynamicScope
diff --git a/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/ResolutionStages.kt b/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/ResolutionStages.kt
index c2602fbf5c4..abfff0632b5 100644
--- a/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/ResolutionStages.kt
+++ b/compiler/fir/resolve/src/org/jetbrains/kotlin/fir/resolve/calls/ResolutionStages.kt
@@ -424,8 +424,12 @@ internal object MapArguments : ResolutionStage() {
     override suspend fun check(candidate: Candidate, callInfo: CallInfo, sink: CheckerSink, context: ResolutionContext) {
         val symbol = candidate.symbol as? FirFunctionSymbol<*> ?: return sink.reportDiagnostic(HiddenCandidate)
         val function = symbol.fir
-
-        val mapping = context.bodyResolveComponents.mapArguments(callInfo.arguments, function, candidate.originScope)
+        val mapping = context.bodyResolveComponents.mapArguments(
+            callInfo.arguments,
+            function,
+            candidate.originScope,
+            callSiteIsOperatorCall = (callInfo.callSite as? FirFunctionCall)?.origin == FirFunctionCallOrigin.Operator
+        )
         candidate.argumentMapping = mapping.toArgumentToParameterMapping()
         candidate.numDefaults = mapping.numDefaults()
 
diff --git a/compiler/testData/diagnostics/tests/regressions/kt10633.fir.kt b/compiler/testData/diagnostics/tests/regressions/kt10633.fir.kt
index 050c5191274..76d3a221907 100644
--- a/compiler/testData/diagnostics/tests/regressions/kt10633.fir.kt
+++ b/compiler/testData/diagnostics/tests/regressions/kt10633.fir.kt
@@ -15,5 +15,5 @@ fun main() {
     1.set(2, z = 1)
     1[2] += 1
 
-    1.set(2, 1)
+    1.set(2, <!NO_VALUE_FOR_PARAMETER!>1)<!>
 }