Jakub Jankto had put the Blucerchiati in front, it was cancelled out by Gianluca Scamacca, and Keita Balde Diao hit the upright late on.
“I always ask the lads to give their all and we did well tonight, but not as well as we could've done," Ranieri told Sky Sport Italia.
“Genoa closed up well, they were passing it better than we did through the centre. It was an even first half, but we deserved more in the second half.
“In any case, when you cannot win, it's at least good not to lose. Keita hasn't been training with us for long, so he'll slowly be able to play the 90 minutes, and the idea then is to play him with Fabio Quagliarella, or with Keita out wide."
Ranieri added: "Last season we were struggling to stay afloat, in fact we were drowning for much of the campaign and after the lockdown managed to drag ourselves out. Therefore, our objective is to achieve 40 points and safety as soon as possible."
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