A new and distinct Petunia cultivar named ‘PetPre01’ is disclosed, characterized by having a dense, mat forming plant, small, semi-double flowers and dense, non-sticky foliage. Additionally, the new variety shows excellent tolerance to drought conditions, showing no negative effects at 50% of the water consumption of typical, similar Petunia varieties known to the inventor. The new variety is a Petunia, normally produced as an outdoor garden or container plant.