A320
Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 108; Flight Crew Total 8359; Flight Crew Type 6478
Aircraft Equipment Problem Less Severe; Flight Deck / Cabin / Aircraft Event Smoke / Fire / Fumes / Odor
Air Traffic Control Provided Assistance; Aircraft Equipment Problem Dissipated; Flight Crew Landed in Emergency Condition; Flight Crew Returned To Departure Airport; Flight Crew Requested ATC Assistance / Clarification; Flight Crew Overcame Equipment Problem; General Flight Cancelled / Delayed; General Maintenance Action
Aircraft
Just prior to leveling off at FL340; Flight Attendant called and stated there was an electrical burning smell in the forward galley. There was not any smoke nor fire; just an odor. We notified ATC; turned back toward ZZZ; accomplished all checklist items; and landed uneventfully. After clearing the runway; we had the fire department check the airplane for signs of a fire. They saw nothing so we taxied back to the gate. At the gate; the fire department came on board to check the galley. They found nothing. No deviations from FARs.
Flight Attendant reported faint smell of fumes in forward galley.  Verified by [company] deadheading pilot.  Ran smoke/fumes checklist.  Verified no fire or persistent fumes.  Checklist said to land.  Captain made the call and we returned to ZZZ.  Overweight landing also accomplished and written up in ZZZ.
A320 flight crew reported an 'electrical burning smell' during initial climb resulting in a return to the departure airport.