Roma coach Jose Mourinho was one of four managers to be suspended for the coming midweek round of Serie A fixtures after being sent off during Sunday's match at the Stadio Olimpico.
It was Inter’s first trophy since 2011 and the first Serie A title since 2010, when it claimed the treble of the league, Champions League and Italian Cup.
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.
Juventus now need just one point to officially retain their crown with games to come against Roma in the Stadio Olimpico and already-relegated Verona in Turin.
Former Italy midfielder Di Biagio, 46, who played for Roma, Inter Milan and Lazio during his career, is seen as an outsider among a star line-up of names being linked with the job.
The Italian Olympic Committee (CONI), which oversees all sports in Italy, named its secretary general as emergency leader.