In 1945/46, he took 4th in Ljubljana; the event was won by Svetozar Gligorić. In 1949/50, he tied for 2nd-3rd, in Lucerne. In 1950, he won, ahead of Mladen Šubarić, in Zagreb (CRO-ch). In 1951, he won the 10th Yugoslav Championship in Sarajevo.
In 1953, he took 3rd in Opatija. In 1953, he tied for 1st with Vasja Pirc in Zagreb (12th YUG-ch), and afterwards lost a play-off match for the title. In 1954, he tied for 2nd-3rd with Jan Hein Donner, behind Wolfgang Unzicker, in Munich (zonal).[5] In 1955, he tied for 14–15th in Gothenburg (Interzonal); the event was won by David Bronstein.[6]
Rabar participated at the 1st Balkaniad in Belgrade in 1946. Yugoslavia won, ahead of Romania, Bulgaria, and Albania. He won silver medal at 8th board. Rabar played in three Chess Olympiads. In August/September 1950, he won two gold medals: individual at fourth board (+8 –0 =2), and team, along with Gligorić, Pirc, Petar Trifunović, Milan Vidmar jr, and Stojan Puc, at the 9th Chess Olympiad in Dubrovnik. In August 1952, he played at second board at the 10th Chess Olympiad in Helsinki (+5 –1 =6). Rabar won two bronze medals (individual and team). In September 1954, he played at fourth board at the 11th Chess Olympiad in Amsterdam (+1 –3 =4). Yugoslavia won bronze medal. In the three Olympiads, Rabar won five medals, and in 30 games scored (+14 -4 =12), for 66.7 per cent.[7]
Rabar was awarded the International Master (IM) title in 1950. He coedited the monthly chess magazine Šahovski Glasnik. He was involved in designing the ECO opening classification system.
KRONOLOGIJA HRVATSKOGA ŠAHA (393) Gillam, Anthony J. & Swift, A J (2001), 1st European championship Munich 1942, Nottingham: The Chess Player, ISBN 1-901034-46-1