They weren't officially Axis until 1941, they bought their Hurricanes (and Blenheims) from the Brits in 1939/40. The best way to tell their vintage is that they have the split black/white undersides common to pre-1940 RAF fighters. Most were also originally delivered with 2-bladed constant-pitch props, but later upgraded.
The Germans also gave them the Hurricanes they captured from the Yugoslavian Air Force in return for Rumania allowing the Luftwaffe to use their bases during that operation.
All the Rumanian Hurricanes were concentrated into Escadrila 53 Vanatoare and used to protect the Black Sea ports and cities (mainly Constanta and Mamaia), until they were replaced at that role in 1943 by the former Grupul 7 Bf-109Es that had just been themselves replaced at the front by Bf-109G2 and G4s purchased from the Germans. The last use of the Rumanian Hurricanes was when they were dismantled and their engines used to power the Rumanian Navy's Vosper Torpedo Boats until some time after the war.
None of their Hurricanes are known to have survived the war.