In the following season, Adam made his debut in European competitions, playing four games in which he scored a goal that helped "U" Cluj eliminate Austrian team, Wiener Neustadt in the first round of the 1965–66 European Cup Winners' Cup, being eliminated in the following round by Atlético Madrid.[6][8][13] In the 1967–68 season he scored 15 goals in 26 league appearances, winning his second top-scorer title, seven of these being scored in two victories over Dinamo București.[1][2][6][11][14] In the next season he was selected to do his military service in Arad, so he played for local club, Vagonul.[7][8][11] Afterwards he returned to play for three more seasons at "U" Cluj.[7][8] In the last one, Adam scored 10 goals which helped the club finish in third position.[7][8]
Then he was transferred to CFR Cluj in exchange for Vasile Șoo, where he reunited with coach Constantin Rădulescu and scored the decisive goal in the 2–1 Cluj derby win against Universitatea three weeks after his transfer.[1][6][7][11][15] In the 1973–74 season, he won the top-scorer title for the third and final time, scoring a personal record of 23 goals, while the team netted a total of 40.[1][2][6][8][11] That performance helped them avoid relegation, as they finished in 14th position out of 18 teams.[8][11] Adam scored nine goals in 25 appearances in his last season, but he couldn't prevent CFR from being relegated this time.[1][8][9][11] His last Divizia A appearance was on 20 June 1976 in CFR's 1–0 loss to Steaua București and he scored a total of 160 goals in 353 matches in the competition.[1][8][9][11]
International career
Between 1963 and 1965, Adam made several appearances for Romania's under-23 and B teams.[11][16] But he never played for Romania's senior team and on 13 May 2020, Gazeta Sporturilor included him in a first XI of best Romanian players who never played for the senior national team.[11][17][18]
Refereeing career
After he ended his playing career, Adam became a referee, officiating games including in Romania's top-league, Divizia A.[2][4][11][19]
Death
In the last years of his life, he lived in Cluj-Napoca, suffering from Alzheimer's disease, and died on 11 December 2015 at age 75.[2][3][4][5][8] The Mihai Adam Stadium in Câmpia Turzii is named in his honor.[20]