diff --git a/compiler/fir/resolve/testData/resolve/companionObjectCall.kt b/compiler/fir/resolve/testData/resolve/companionObjectCall.kt
new file mode 100644
index 00000000000..1ee59420868
--- /dev/null
+++ b/compiler/fir/resolve/testData/resolve/companionObjectCall.kt
@@ -0,0 +1,47 @@
+// UNEXPECTED BEHAVIOUR
+// Issue: KT-37056
+class A()
+
+// TESTCASE NUMBER: 1
+fun case1(a: A?) {
+    val test = a?.let {
+
+        Case1.invoke(it)  //resolved to private constructor
+
+        <!INAPPLICABLE_CANDIDATE!>Case1<!>(it) //resolved to private constructor
+
+        <!INAPPLICABLE_CANDIDATE!>Case1<!>(A()) //resolved to private constructor
+    }
+
+    <!INAPPLICABLE_CANDIDATE!>Case1<!>(A()) //resolved to private constructor
+    <!INAPPLICABLE_CANDIDATE!>Case1<!>(a = A()) //resolved to private constructor
+}
+
+class Case1 private constructor(val a: String) {
+    companion object {
+        operator fun invoke(a: A) = ""
+    }
+}
+
+// TESTCASE NUMBER: 2
+fun case2(a: A){
+    <!INAPPLICABLE_CANDIDATE!>Case2<!>(a)
+    <!INAPPLICABLE_CANDIDATE!>Case2<!>(a = a)
+}
+
+class Case2 {
+    companion object {
+        operator fun invoke(a: A) = ""
+    }
+}
+
+// TESTCASE NUMBER: 3
+fun case3(a: A){
+    Case3.Companion(a)  //ok resolved to (2)
+    Case3.Companion(parameterA = a) //ok resolved to (2)
+}
+class Case3 {
+    companion object {
+        operator fun invoke(parameterA: A) = "" //(2)
+    }
+}
\ No newline at end of file
diff --git a/compiler/fir/resolve/testData/resolve/companionObjectCall.txt b/compiler/fir/resolve/testData/resolve/companionObjectCall.txt
new file mode 100644
index 00000000000..2a874b5cb8b
--- /dev/null
+++ b/compiler/fir/resolve/testData/resolve/companionObjectCall.txt
@@ -0,0 +1,79 @@
+FILE: companionObjectCall.kt
+    public final class A : R|kotlin/Any| {
+        public constructor(): R|A| {
+            super<R|kotlin/Any|>()
+        }
+
+    }
+    public final fun case1(a: R|A?|): R|kotlin/Unit| {
+        lval test: R|kotlin/Nothing?| = R|<local>/a|?.R|kotlin/let|<R|A|, R|kotlin/Nothing|>(<L> = let@fun <anonymous>(it: R|A|): R|kotlin/Nothing| <kind=EXACTLY_ONCE>  {
+            Q|Case1|.R|/Case1.Companion.invoke|(R|<local>/it|)
+            <Inapplicable(HIDDEN): [/Case1.Case1]>#(R|<local>/it|)
+            ^ <Inapplicable(HIDDEN): [/Case1.Case1]>#(R|/A.A|())
+        }
+        )
+        <Inapplicable(HIDDEN): [/Case1.Case1]>#(R|/A.A|())
+        <Inapplicable(HIDDEN): [/Case1.Case1]>#(a = R|/A.A|())
+    }
+    public final class Case1 : R|kotlin/Any| {
+        private constructor(a: R|kotlin/String|): R|Case1| {
+            super<R|kotlin/Any|>()
+        }
+
+        public final val a: R|kotlin/String| = R|<local>/a|
+            public get(): R|kotlin/String|
+
+        public final companion object Companion : R|kotlin/Any| {
+            private constructor(): R|Case1.Companion| {
+                super<R|kotlin/Any|>()
+            }
+
+            public final operator fun invoke(a: R|A|): R|kotlin/String| {
+                ^invoke String()
+            }
+
+        }
+
+    }
+    public final fun case2(a: R|A|): R|kotlin/Unit| {
+        <Inapplicable(PARAMETER_MAPPING_ERROR): [/Case2.Case2]>#(R|<local>/a|)
+        <Inapplicable(INAPPLICABLE): [/Case2.Case2]>#(a = R|<local>/a|)
+    }
+    public final class Case2 : R|kotlin/Any| {
+        public constructor(): R|Case2| {
+            super<R|kotlin/Any|>()
+        }
+
+        public final companion object Companion : R|kotlin/Any| {
+            private constructor(): R|Case2.Companion| {
+                super<R|kotlin/Any|>()
+            }
+
+            public final operator fun invoke(a: R|A|): R|kotlin/String| {
+                ^invoke String()
+            }
+
+        }
+
+    }
+    public final fun case3(a: R|A|): R|kotlin/Unit| {
+        Q|Case3|.R|/Case3.Companion|.R|/Case3.Companion.invoke|(R|<local>/a|)
+        Q|Case3|.R|/Case3.Companion|.R|/Case3.Companion.invoke|(parameterA = R|<local>/a|)
+    }
+    public final class Case3 : R|kotlin/Any| {
+        public constructor(): R|Case3| {
+            super<R|kotlin/Any|>()
+        }
+
+        public final companion object Companion : R|kotlin/Any| {
+            private constructor(): R|Case3.Companion| {
+                super<R|kotlin/Any|>()
+            }
+
+            public final operator fun invoke(parameterA: R|A|): R|kotlin/String| {
+                ^invoke String()
+            }
+
+        }
+
+    }
diff --git a/compiler/fir/resolve/tests/org/jetbrains/kotlin/fir/FirDiagnosticsTestGenerated.java b/compiler/fir/resolve/tests/org/jetbrains/kotlin/fir/FirDiagnosticsTestGenerated.java
index d11e8f8b599..520c073e471 100644
--- a/compiler/fir/resolve/tests/org/jetbrains/kotlin/fir/FirDiagnosticsTestGenerated.java
+++ b/compiler/fir/resolve/tests/org/jetbrains/kotlin/fir/FirDiagnosticsTestGenerated.java
@@ -48,6 +48,11 @@ public class FirDiagnosticsTestGenerated extends AbstractFirDiagnosticsTest {
         runTest("compiler/fir/resolve/testData/resolve/companion.kt");
     }
 
+    @TestMetadata("companionObjectCall.kt")
+    public void testCompanionObjectCall() throws Exception {
+        runTest("compiler/fir/resolve/testData/resolve/companionObjectCall.kt");
+    }
+
     @TestMetadata("companionUsesNested.kt")
     public void testCompanionUsesNested() throws Exception {
         runTest("compiler/fir/resolve/testData/resolve/companionUsesNested.kt");
diff --git a/compiler/fir/resolve/tests/org/jetbrains/kotlin/fir/FirDiagnosticsWithLightTreeTestGenerated.java b/compiler/fir/resolve/tests/org/jetbrains/kotlin/fir/FirDiagnosticsWithLightTreeTestGenerated.java
index 6126fb37f5a..6bb37555d5d 100644
--- a/compiler/fir/resolve/tests/org/jetbrains/kotlin/fir/FirDiagnosticsWithLightTreeTestGenerated.java
+++ b/compiler/fir/resolve/tests/org/jetbrains/kotlin/fir/FirDiagnosticsWithLightTreeTestGenerated.java
@@ -48,6 +48,11 @@ public class FirDiagnosticsWithLightTreeTestGenerated extends AbstractFirDiagnos
         runTest("compiler/fir/resolve/testData/resolve/companion.kt");
     }
 
+    @TestMetadata("companionObjectCall.kt")
+    public void testCompanionObjectCall() throws Exception {
+        runTest("compiler/fir/resolve/testData/resolve/companionObjectCall.kt");
+    }
+
     @TestMetadata("companionUsesNested.kt")
     public void testCompanionUsesNested() throws Exception {
         runTest("compiler/fir/resolve/testData/resolve/companionUsesNested.kt");