Serie A champions Juventus saw their 47-match unbeaten home league record come to an end against Udinese.
Watford have made a club-record bid for Genoa winger Diego Perotti, according to Sky sources.
Genoa head coach Gian Piero Gasperini has extended his contract until 2017 after a sixth-place finish in Serie A.
Simone Zaza struck twice as Sassuolo beat 10-man Genoa 3-1 on Sunday to finish their Serie A campaign on a high.
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.
Liverpool give U21s more game time than Premier League rivals but top flight lags behind Europe.
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.
AC Milan fans spelled out their deepening frustration over the Serie A giants' malaise before the 3-1 defeat to Genoa.
Juventus will have to wait another week to secure their status as Serie A champions after falling to a 2-1 defeat at Torino.
Genoa resumed their late push for a place in the Europa League places by beating 10-man Cesena 3-1.
Neither side could find the net in the Milan derby, while Roma missed the chance to go second.
Parma's surprise revival came to an end at Genoa as the Rossoblu claimed a 2-0 victory at the Stadio Luigi Ferraris.
Genoa left Cagliari even deeper in relegation danger with a 2-0 win at the Stadio Luigi Ferraris on Saturday.
Genoa avoided a third straight defeat as they claimed a 1-1 draw against Udinese at the Stadio Luigi Ferraris.
Juventus closed in on a fourth straight Serie A title after a 2-0 victory over Empoli.