If you've stumbled across a tarantula in Texas recently that seemed lost and wandering, there's a very good reason for it. When Does Tarantula Mating Season BeginWhen summer turns to fall in Texas, male tarantulas get on the move. Where & When You’re Likely to See ThemTarantulas in Texas can usually be found in places that people aren't. They're usually not aggressive, but you're better off being safe rather than sorry. Once this great search for a mate is over, the tarantulas will retreat into their burrows for the winter.