Internazionale booked their first win of the season in their second league match.
The reigning champions were too strong for Lecce in their own stadium with a score of 2-0.
Matteo Darmian headed Inter into the lead in the fifth minute from a cross by Mehdi Taremi.
After a foul on Marcus Thuram, Hakan Çalhanoglu converted the awarded penalty after an hour to make it 2-0.
Dutch international Denzel Dumfries came on for the home team in the 73rd minute.
Stefan de Vrij was not in the selection, he is still recovering from an injury.
Meanwhile, AC Milan is still waiting for its first win after two league matches.
Last season’s number 2 lost 2-1 at promoted Parma.
Milan, who played with Dutch international Tijjani Reijnders in the starting line-up, were already behind after two minutes due to a goal by Dennis Man.
Christian Pulisic scored the equalizer in the 66th minute, but ten minutes later Matteo Cancellieri put the final score on the board, 2-1.
Milan started the season last week with a 2-2 draw against Torino, after being 0-2 down in the 88th minute.