Lecce have been fined €15,000 and ordered to hold four Lega Pro matches behind closed doors after fans rioted at the Stadio Via del Mare on Sunday.
After Carpi earned a 1-1 draw to complete a 2-1 aggregate play-off final victory over Lecce and seal promotion to Serie B, around 200 home fans invaded the pitch, damaging fittings and billboards before attacking stewards who were blocking their attempts to enter the changing rooms.
Both sets of players had managed to leave the field shortly before the violence broke out.
Police said four officers were wounded.
Lecce, who were relegated from Serie A in 2012, were further demoted into the third tier of Italian football due to their involvement in match-fixing.
But despite being tipped to dominate in the southern conference, Lecce could only finish as runners-up to Trapani.