Gianluigi Buffon lifted the last trophy of his glittering Juventus career after his team beat Atalanta 2-1 in the Italian Cup.
Inter had beaten Juventus 2-0 two weeks ago in Serie A and coach Antonio Conte was looking to maintain supremacy over his former club.
The spat between the former Manchester United teammates continued after the halftime whistle and a visibly furious Lukaku had to be restrained.
Former Manchester United teammates Ibrahimovic and Lukaku then clashed angrily before the half-time whistle.
It was the 13th Cup win for Juventus, who are also poised to become the first Italian team to complete the double for four years in a row.