A320 Captain reported returning to departure airport after experiencing multiple stalls in #1 engine.

Narrative

Climbing thru; or above Flight Level 300 in climb to 340; before entering ZZZZ airspace. We experienced a #1 engine stall; with engine pressure ratio (EPR) rollback; and an ECAM message #1Engine Stall".The FADEC did an auto relight and the engine recovered after about 2 seconds without pilot action. Both the First Officer (FO) and I perceived a yaw to the left; I noted the igniters were on; and honestly; I was laser focused on EPR and did not observe the rest of the engine parameters.I transferred controls to the First Officer and called Dispatch/Maintenance Control via satellite communications. While talking with Dispatch/Maintenance the #1 engine experienced another engine stall. I told the First Officer to start coordinating with ATC; to get us turned around; and told him under no circumstances do we cross the oceanic boundary. We all agreed to do a return to ZZZ. Dispatch/Operations/Maintenance were advised of our status; and Maintenance Control advised to do an overweight landing.Cabin crew was briefed; I advised cabin crew we were doing an air return; but; it was not an urgent situation; as both engines were still running. Customers were informed of our return; and a return to ZZZ clearance was coordinated with ATC.No emergency was declared.We ran the divert QRH and the OVERWEIGHT LANDING QRHWe complied with all items and procedures in the overweight landing checklist.We experienced 4 or 5 engine stalls in total.We landed; significantly overweight; without delay; as that was the safest course of action.A logbook writeup was done for engine stall inflightA logbook writeup was done for overweight landingThis aircraft had experienced #1 engine stalls on a previous flight. The aircraft was out of service in ZZZ1 for; I believe; a couple days while the engine was worked on. It was ferried to ZZZ2 in the morning; and we flew in from ZZZ2 to ZZZ. So we experienced the engine anomaly on the second revenue leg after the engine work was done for the previous engine stall at altitude."