diff --git a/clang/lib/ASTMatchers/ASTMatchFinder.cpp b/clang/lib/ASTMatchers/ASTMatchFinder.cpp
--- a/clang/lib/ASTMatchers/ASTMatchFinder.cpp
+++ b/clang/lib/ASTMatchers/ASTMatchFinder.cpp
@@ -1167,6 +1167,8 @@
   } else if (const auto *FD = dyn_cast<FunctionDecl>(DeclNode)) {
     if (FD->isDefaulted())
       ScopedChildren = true;
+    if (FD->isTemplateInstantiation())
+      ScopedTraversal = true;
   }
 
   ASTNodeNotSpelledInSourceScope RAII1(this, ScopedTraversal);
diff --git a/clang/unittests/ASTMatchers/ASTMatchersTraversalTest.cpp b/clang/unittests/ASTMatchers/ASTMatchersTraversalTest.cpp
--- a/clang/unittests/ASTMatchers/ASTMatchersTraversalTest.cpp
+++ b/clang/unittests/ASTMatchers/ASTMatchersTraversalTest.cpp
@@ -2201,10 +2201,18 @@
   TemplStruct() {}
   ~TemplStruct() {}
 
+  void outOfLine(T);
+
 private:
   T m_t;
 };
 
+template<typename T>
+void TemplStruct<T>::outOfLine(T)
+{
+
+}
+
 template<typename T>
 T timesTwo(T input)
 {
@@ -2278,6 +2286,7 @@
     EXPECT_TRUE(matches(Code, traverse(TK_AsIs, MTempl)));
     // TODO: If we could match on explicit instantiations of function templates,
     // this would be EXPECT_TRUE.
+    // See Sema::ActOnExplicitInstantiation,
     EXPECT_FALSE(
         matches(Code, traverse(TK_IgnoreUnlessSpelledInSource, MTempl)));
   }
@@ -2324,6 +2333,14 @@
     EXPECT_TRUE(matches(Code, traverse(TK_AsIs, M)));
     EXPECT_FALSE(matches(Code, traverse(TK_IgnoreUnlessSpelledInSource, M)));
   }
+  {
+    // Instantiated, out-of-line methods are not matchable
+    auto M =
+        cxxMethodDecl(hasName("outOfLine"), isDefinition(),
+                      hasParameter(0, parmVarDecl(hasType(asString("float")))));
+    EXPECT_TRUE(matches(Code, traverse(TK_AsIs, M)));
+    EXPECT_FALSE(matches(Code, traverse(TK_IgnoreUnlessSpelledInSource, M)));
+  }
   {
     // Explicit specialization is written in source and it matches:
     auto M = classTemplateSpecializationDecl(