A sunflower hybrid designated P64ME01 and seed, plants and plant parts thereof is provided. Methods for producing a sunflower plant that comprises crossing hybrid sunflower variety P64ME01 with another sunflower plant. Methods for producing a sunflower plant containing in its genetic material one or more traits introgressed into P64ME01 through backcross conversion and/or transformation, and to the sunflower seed, plant and plant part produced thereby. This invention relates to the sunflower variety P64ME01, the seed, the plant produced from the seed, and variants, mutants, and minor modifications of sunflower variety P64ME01. This invention further relates to methods for producing sunflower varieties derived from wunflower variety P64ME01.