туфли - a range of things. First of all they are rather low. Dress shoes can be called this way. We mostly associate dress shoes with this name now (i mean - the first image to come to my mind is rather smart italian made something:)), but in past ot was appied to many things, including soft things worn in home, tennis shoes and to sneakers. Well, actually the term is still used this way, in some shops they sell sneakers as туфли.