Romelu Lukaku saved the best for last with a wonderful solo run and finish, after his header and an Alexis Sanchez strike off the underside of the bar.
Inter ran riot at Marassi with a 3-0 victory over relegation-threatened Genoa, who had used up so much energy in their midweek win over city rivals Sampdoria.
Lukaku set a new personal career best with 29 competitive goals this season in the Nerazzurri jersey.
Sanchez came off the bench and made his mark, a side-foot volley off the underside of the crossbar from close range.
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