The aim of this note is to prove estimates on mean values of the number of times that Itô pro- cesses observed at discrete times visit small balls in $mathbb{R}^d$. Our technique, in the infinite horizon case, is inspired by Krylov's arguments in [2, Chap.2]. In the finite horizon case, motivated by an application in stochastic numerics, we discount the number of visits by a locally exploding coef- ficient, and our proof involves accurate properties of last passage times at 0 of one dimensional semimartingales.