In studies on healthy people, esomeprazole (the acid-reducing part of this combination) did not cause any important interaction with indomethacin. The same was true for other medicines that the liver breaks down through the same enzyme system (cytochrome P450), such as warfarin, ibuprofen, phenytoin, propranolol, prednisolone, diazepam and clarithromycin. So no significant problem was seen when it was taken alongside indomethacin.
These medicines are often taken together with some care. Your doctor may change a dose, space them apart or check on you more often. Make sure your doctor and pharmacist know you take both.