diff --git a/clang-tools-extra/clang-tidy/modernize/AvoidBindCheck.cpp b/clang-tools-extra/clang-tidy/modernize/AvoidBindCheck.cpp
--- a/clang-tools-extra/clang-tidy/modernize/AvoidBindCheck.cpp
+++ b/clang-tools-extra/clang-tidy/modernize/AvoidBindCheck.cpp
@@ -685,12 +685,18 @@
     const BindArgument &ObjPtr = FunctionCallArgs.front();
 
     Stream << " { ";
-    if (!isa<CXXThisExpr>(ignoreTemporariesAndPointers(ObjPtr.E))) {
-      Stream << ObjPtr.UsageIdentifier;
-      Stream << "->";
+    if (!MethodDecl->getReturnType()->isVoidType()) {
+      Stream << "return ";
+    }
+    if (MethodDecl->getOverloadedOperator() == OO_Call) {
+      Stream << "(*" << ObjPtr.UsageIdentifier << ')';
+    } else {
+      if (!isa<CXXThisExpr>(ignoreTemporariesAndPointers(ObjPtr.E))) {
+        Stream << ObjPtr.UsageIdentifier;
+        Stream << "->";
+      }
+      Stream << MethodDecl->getNameAsString();
     }
-
-    Stream << MethodDecl->getName();
   } else {
     Stream << " { return ";
     switch (LP.Callable.CE) {
diff --git a/clang-tools-extra/test/clang-tidy/checkers/modernize-avoid-bind.cpp b/clang-tools-extra/test/clang-tidy/checkers/modernize-avoid-bind.cpp
--- a/clang-tools-extra/test/clang-tidy/checkers/modernize-avoid-bind.cpp
+++ b/clang-tools-extra/test/clang-tidy/checkers/modernize-avoid-bind.cpp
@@ -43,6 +43,7 @@
 struct D {
   D() = default;
   void operator()(int x, int y) const {}
+  operator bool() const { return true; }
 
   void MemberFunction(int x) {}
 
@@ -340,6 +341,7 @@
 
 struct E {
   void MemberFunction(int x) {}
+  int operator()(int x, int y) const { return x + y; }
 
   void testMemberFunctions() {
     D *d;
@@ -360,6 +362,26 @@
     auto DDD = std::bind(&D::MemberFunction, _1, 1);
     // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: prefer a lambda to std::bind
     // CHECK-FIXES: auto DDD = [](auto && PH1) { PH1->MemberFunction(1); };
+
+    auto EEE = std::bind(&D::operator(), d, 1, 2);
+    // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: prefer a lambda to std::bind
+    // CHECK-FIXES: auto EEE = [d] { (*d)(1, 2); }
+
+    auto FFF = std::bind(&D::operator(), &dd, 1, 2);
+    // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: prefer a lambda to std::bind
+    // CHECK-FIXES: auto FFF = [ObjectPtr = &dd] { (*ObjectPtr)(1, 2); }
+
+    auto GGG = std::bind(&D::operator(), _1, 1, 2);
+    // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: prefer a lambda to std::bind
+    // CHECK-FIXES: auto GGG = [](auto && PH1) { (*PH1)(1, 2); };
+
+    auto HHH = std::bind(&D::operator bool, d);
+    // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: prefer a lambda to std::bind
+    // CHECK-FIXES: auto HHH = [d] { return d->operator bool(); }
+
+    auto III = std::bind(&E::operator(), this, 1, 2);
+    // CHECK-MESSAGES: :[[@LINE-1]]:16: warning: prefer a lambda to std::bind
+    // CHECK-FIXES: auto III = [this] { return (*this)(1, 2); }
   }
 };