Vesime is a comune (municipality) in the Province of Asti in the Italian region Piedmont, located about southeast of Turin and about south of Asti. As of 31 December 2004, it had a population of 683 and an area of .
Vesime borders the following municipalities: Castino, Cessole, Cossano Belbo, Perletto, Roccaverano, Rocchetta Belbo, and San Giorgio Scarampi.