diff --git a/atom/browser/api/atom_api_session.cc b/atom/browser/api/atom_api_session.cc
index 7780c9cc0e5a..5fab46573266 100644
--- a/atom/browser/api/atom_api_session.cc
+++ b/atom/browser/api/atom_api_session.cc
@@ -350,9 +350,8 @@ v8::Local<v8::Promise> Session::ResolveProxy(mate::Arguments* args) {
   args->GetNext(&url);
 
   browser_context_->GetResolveProxyHelper()->ResolveProxy(
-      url,
-      base::Bind(util::CopyablePromise::ResolveCopyablePromise<std::string>,
-                 util::CopyablePromise(promise)));
+      url, base::BindOnce(util::Promise::ResolvePromise<std::string>,
+                          std::move(promise)));
 
   return handle;
 }
@@ -413,8 +412,7 @@ v8::Local<v8::Promise> Session::ClearStorageData(mate::Arguments* args) {
   storage_partition->ClearData(
       options.storage_types, options.quota_types, options.origin, base::Time(),
       base::Time::Max(),
-      base::Bind(util::CopyablePromise::ResolveEmptyCopyablePromise,
-                 util::CopyablePromise(promise)));
+      base::BindOnce(util::Promise::ResolveEmptyPromise, std::move(promise)));
   return handle;
 }
 
@@ -496,17 +494,18 @@ void Session::DisableNetworkEmulation() {
       network_emulation_token_, network::mojom::NetworkConditions::New());
 }
 
-void WrapVerifyProc(base::Callback<void(const VerifyRequestParams& request,
-                                        base::Callback<void(int)>)> proc,
-                    const VerifyRequestParams& request,
-                    base::OnceCallback<void(int)> cb) {
+void WrapVerifyProc(
+    base::RepeatingCallback<void(const VerifyRequestParams& request,
+                                 base::RepeatingCallback<void(int)>)> proc,
+    const VerifyRequestParams& request,
+    base::OnceCallback<void(int)> cb) {
   proc.Run(request, base::AdaptCallbackForRepeating(std::move(cb)));
 }
 
 void Session::SetCertVerifyProc(v8::Local<v8::Value> val,
                                 mate::Arguments* args) {
-  base::Callback<void(const VerifyRequestParams& request,
-                      base::Callback<void(int)>)>
+  base::RepeatingCallback<void(const VerifyRequestParams& request,
+                               base::RepeatingCallback<void(int)>)>
       proc;
   if (!(val->IsNull() || mate::ConvertFromV8(args->isolate(), val, &proc))) {
     args->ThrowError("Must pass null or function");
@@ -517,7 +516,7 @@ void Session::SetCertVerifyProc(v8::Local<v8::Value> val,
       FROM_HERE, {BrowserThread::IO},
       base::BindOnce(&SetCertVerifyProcInIO,
                      WrapRefCounted(browser_context_->GetRequestContext()),
-                     base::Bind(&WrapVerifyProc, proc)));
+                     base::BindRepeating(&WrapVerifyProc, proc)));
 }
 
 void Session::SetPermissionRequestHandler(v8::Local<v8::Value> val,
@@ -645,7 +644,7 @@ void Session::CreateInterruptedDownload(const mate::Dictionary& options) {
   }
   auto* download_manager =
       content::BrowserContext::GetDownloadManager(browser_context());
-  download_manager->GetDelegate()->GetNextId(base::Bind(
+  download_manager->GetDelegate()->GetNextId(base::BindRepeating(
       &DownloadIdCallback, download_manager, path, url_chain, mime_type, offset,
       length, last_modified, etag, base::Time::FromDoubleT(start_time)));
 }
diff --git a/atom/browser/net/resolve_proxy_helper.cc b/atom/browser/net/resolve_proxy_helper.cc
index 7fa431568569..d8d9c7db566a 100644
--- a/atom/browser/net/resolve_proxy_helper.cc
+++ b/atom/browser/net/resolve_proxy_helper.cc
@@ -30,10 +30,10 @@ ResolveProxyHelper::~ResolveProxyHelper() {
 }
 
 void ResolveProxyHelper::ResolveProxy(const GURL& url,
-                                      const ResolveProxyCallback& callback) {
+                                      ResolveProxyCallback callback) {
   DCHECK_CURRENTLY_ON(BrowserThread::UI);
   // Enqueue the pending request.
-  pending_requests_.push_back(PendingRequest(url, callback));
+  pending_requests_.push_back(PendingRequest(url, std::move(callback)));
 
   // If nothing is in progress, start.
   if (!binding_.is_bound()) {
@@ -76,7 +76,7 @@ void ResolveProxyHelper::OnProxyLookupComplete(
     proxy = proxy_info->ToPacString();
 
   if (!completed_request.callback.is_null())
-    completed_request.callback.Run(proxy);
+    std::move(completed_request.callback).Run(proxy);
 
   // Start the next request.
   if (!pending_requests_.empty())
@@ -85,8 +85,8 @@ void ResolveProxyHelper::OnProxyLookupComplete(
 
 ResolveProxyHelper::PendingRequest::PendingRequest(
     const GURL& url,
-    const ResolveProxyCallback& callback)
-    : url(url), callback(callback) {}
+    ResolveProxyCallback callback)
+    : url(url), callback(std::move(callback)) {}
 
 ResolveProxyHelper::PendingRequest::PendingRequest(
     ResolveProxyHelper::PendingRequest&& pending_request) = default;
diff --git a/atom/browser/net/resolve_proxy_helper.h b/atom/browser/net/resolve_proxy_helper.h
index e2cf9ddb056a..39269d948392 100644
--- a/atom/browser/net/resolve_proxy_helper.h
+++ b/atom/browser/net/resolve_proxy_helper.h
@@ -22,11 +22,11 @@ class ResolveProxyHelper
     : public base::RefCountedThreadSafe<ResolveProxyHelper>,
       network::mojom::ProxyLookupClient {
  public:
-  using ResolveProxyCallback = base::Callback<void(std::string)>;
+  using ResolveProxyCallback = base::OnceCallback<void(std::string)>;
 
   explicit ResolveProxyHelper(AtomBrowserContext* browser_context);
 
-  void ResolveProxy(const GURL& url, const ResolveProxyCallback& callback);
+  void ResolveProxy(const GURL& url, ResolveProxyCallback callback);
 
  protected:
   ~ResolveProxyHelper() override;
@@ -36,7 +36,7 @@ class ResolveProxyHelper
   // A PendingRequest is a resolve request that is in progress, or queued.
   struct PendingRequest {
    public:
-    PendingRequest(const GURL& url, const ResolveProxyCallback& callback);
+    PendingRequest(const GURL& url, ResolveProxyCallback callback);
     PendingRequest(PendingRequest&& pending_request) noexcept;
     ~PendingRequest();
 
diff --git a/atom/browser/ui/views/autofill_popup_view.cc b/atom/browser/ui/views/autofill_popup_view.cc
index dac326512fee..fb4766ef4c7d 100644
--- a/atom/browser/ui/views/autofill_popup_view.cc
+++ b/atom/browser/ui/views/autofill_popup_view.cc
@@ -93,8 +93,8 @@ void AutofillPopupView::Show() {
   if (initialize_widget)
     views::WidgetFocusManager::GetInstance()->AddFocusChangeListener(this);
 
-  keypress_callback_ = base::Bind(&AutofillPopupView::HandleKeyPressEvent,
-                                  base::Unretained(this));
+  keypress_callback_ = base::BindRepeating(
+      &AutofillPopupView::HandleKeyPressEvent, base::Unretained(this));
   auto* host = popup_->frame_host_->GetRenderViewHost()->GetWidget();
   host->AddKeyPressEventCallback(keypress_callback_);
 
@@ -294,8 +294,8 @@ void AutofillPopupView::OnMouseExited(const ui::MouseEvent& event) {
   // OnMouseExited event. Pressing return should activate the current selection
   // via AcceleratorPressed, so we need to let that run first.
   base::ThreadTaskRunnerHandle::Get()->PostTask(
-      FROM_HERE, base::Bind(&AutofillPopupView::ClearSelection,
-                            weak_ptr_factory_.GetWeakPtr()));
+      FROM_HERE, base::BindOnce(&AutofillPopupView::ClearSelection,
+                                weak_ptr_factory_.GetWeakPtr()));
 }
 
 void AutofillPopupView::OnMouseMoved(const ui::MouseEvent& event) {