Inter struggled to threaten Crotone and relied on Samir Handanovic, but won 2-0 with scrappy late goals from Milan Skriniar and Ivan Perisic.
The Nerazzurri celebrated a fourth consecutive victory, the best Serie A start in Luciano Spalletti’s career, but Crotone won this fixture 2-1 back in April.
The first shot on target was from the hosts, as Aleksandar Tonev caught Joao Miranda in possession and surged forward to sting Samir Handanovic’s gloves.
Ivan Perisic and Ante Budimir also had efforts parried from distance, while Joao Mario’s angled drive skimmed the woodwork on the counter-attack.
Miranda was caught in possession again and booked for bringing down Budimir, from which Bruno Martella’s ferocious free kick whistled wide.
Roberto Gagliardini had timid penalty appeals waved away for a collision with Rolando Mandragora, but Tonev sprinted away from Miranda and forced Handanovic into a difficult save, rushing off his line.
Handanovic rushed off his line to deny Tonev, though the offside flag was already up anyway, and Arlind Ajeti went off with heatstroke.
Inter were nowhere to be seen after half-time and Crotone again went very close, as Handanovic flew for a fingertip reaction save on Marcus Rohden’s close range header.
A series of shots were charged down from Barberis and Tonev, but Inter took the lead with one of their few genuine scoring opportunities.
A free kick near the corner flag was knocked down for Skriniar, who missed his first attempt, had the second charged down and managed to prod the third past Alex Cordaz at the near bottom corner.
It was against the run of play and so was the second deep into stoppages, as Perisic shrugged off a Marco Davide Faraoni tackle in the box and swung his right boot into the far bottom corner.
The result was very harsh on Crotone, but the fact remains they haven't scored in any of their opening three games.