Juraj Kucka's 89th-minute header lifted Genoa to a 3-2 win over Inter Milan after the Grifoni twice hit back from a goal down.
Iago Falque struck twice as Genoa won 4-1 at Atalanta on Sunday to climb to fifth in the standings.
Cagliari's 11-year association with Serie A comes to end after defeat at Palermo, while Ac Milan, Roma and Genoa record win.
Genoa reached seventh place in the Serie A table by keeping European rivals Torino firmly under control in a 5-1 win.
Roma climbed to second place in the Serie A table with a 2-0 home triumph over Genoa on Sunday afternoon.