The No. 352 (Jugoslav) Squadron of the Royal Air Force (RAF), was designated in internal Yugoslav documents as '1 Lovacka Eskadrila Vazduhoplovstva NOVJ' (1st Fighter Squadron of NOVJ Aviation). It was formed at Benina (Libya) on 22nd April 1944 and was initially equipped with the Hawker Hurricane, however the unit quickly transitioned to the Spitfire and by June-July they were already fully equipped with the Mk. V/Trop.
After their training was complete, they became part of No. 281 Wing RAF, which was subordinated to the Balkan Air Force (an Allied formation operating over the Balkans during World War 2). In that formation, they were joined in September by a second Yugoslav squadron, No. 351, equipped with Hurricanes.
The Yugoslav No. 352 squadron operated from south-eastern Italy performing a wide variety of missions, such as fighter escort, fighter sweeps or ground attack. In October 1944 a detachment was sent to Vis airfield, a small Croatian island on the Adriatic Sea, which served as an advanced operating base, and since January 1945 the entire squadron was based there.
In mid-April the entire squadron was rebased at the liberated airfield of Prkos, on the Yugoslav coast. In spite of Yugoslav efforts, the squadron was not re-equipped with the Spitfire Mk. IX or Mk. VIII, although it seems that they managed to acquire three Mk. IXs.
On 18th May 1945 (although some sources claim it was later, on 15th June), at Zemunik airfield, the squadron was officially deactivated from RAF's command, together with No. 351 Squadron (AKA 2 LEV NOVJ, the Hurricane-equipped Yugoslav squadron) and it was reformed into 1. Lovacki Puk (1st Fighter Regiment).
The first squadron of this regiment took over all operational Spitfires they could find, a total of 17 Mk. V Trop and 3 Mk. IX.
Soon after, linked to the formation of a new bomber regiment equipped with the Soviet Petlyakov Pe-2 aircraft, all experienced personnel of the 1st Regiment was transferred to this new bomber unit, so 1. Lovacki Puk was disbanded and the Spitfires were sent to warehouses in Mostar.
In early 1946 the Spitfires were re-registered according to the Yugoslav Air Force's system. The Mk. Vs received consecutive numbers, ranging from 9476 to 9493, and the few Mk. IX, from 9501 to 9503.
During autumn/winter of 1946, the six Spitfire Mk. Vs which were in the best flying conditions, were assigned to the 3rd Fighter Division, receiving each of the two regiments that division was equipped with, (flying the Yakovlev Yak-3) three Spitfire Mk. V each.
The goal was to develop appropriate tactics to fight the Spitfires, as the Yugoslav aerial space was violated various times by Greek Spitfires. Those incidents took place regularly in the context of the Greek Civil War, as the Yugoslav authorities supported the local Greek communist rebels and even were allowed to take shelter and set up camps in the Yugoslav region of Macedonia.
Oddly enough, the conclusions from those comparisons showed that the Yakovlev Yak-3 had no special advantage over the Spitfire Mk. V Trop in combat, apart from its greater maximum speed.
In May 1947 a regiment (named just as 'Reconnaissance Aviation Regiment') equipped entirely with Spitfires was formed again. This time this unit acted as a reconnaissance unit, and the planes were modified with Soviet photo-cameras installed in them.
In autumn 1948 some Spitfires Mk. IX bearing Yugoslav roundels appeared in Yugoslavia, but actually they were Czechoslovak Spitfires which were sold to Israel, as part of Operation Veletta. Those Mk. IXs were ferried from Czechoslovakia to Israel via Yugoslavia, and refuelling at Niksic (southern Yugoslavia) where they refuelled to continue the flight to Israel. They were temporarily painted in Yugoslav markings to avoid raising alerts among observers.
After Soviet-Yugoslav split, when Yugoslavia broke off 'brotherly relations' with the USSR in early 1949, the Yugoslav forces were reorganized. As part of this reorganization, the previous 'Reconnaissance Regiment' was given the number 103 and was rebased to Pancevo, in Serbia, due to the change in the expected direction of the aggression.
Either way, by August 1952, the Spitfires were written off and replaced by more modern types.
Sources:
1st AJ-Press - Monografie Lotnicze 40 - Supermarine Spitfire Part 3 (translated)
2nd http://www.historyofwar.org/air/units/RAF/352_wwII.html
3rd https://en.wikipedia.org/wiki/List_of_Supermarine_Spitfire_operators#Yugoslavia