[2][3][4][5][6][7][8][9] In 1962 he was transferred at Universitatea Cluj where on 19 August he made his Divizia A debut under coach Constantin Rădulescu in a 2–1 home victory in front of Politehnica Timișoara.

[10][5][7][9][11] In the 1964–65 Divizia A season, Adam who made a successful couple in the team's offence with Zoltán Ivansuc, won for the first time the top-goalscorer of the season title with 18 goals scored, also he helped the club win the Cupa României, being used by coach Andrei Sepci in the whole game of the 2–1 victory from the final against Argeș Pitești.

[1][2][3][4][5][6][7][8][12] 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.

[1][10][2][3][4][5][6][7][8][9][15] In his last season as a player, Mihai Adam scored 9 goals in 25 appearances, being unable to save CFR from avoiding relegation this time, his last Divizia A appearance being on 20 June 1976 in a 1–0 loss in front of Steaua București, having a total of 160 goals scored in 353 matches in the competition.

[1][10][2][5] After he ended his playing career, Adam became a referee, arbitrating games including in Romania's top-league Divizia A.