We prove existence of real numbers x,y, possessing the following property: For any real $a,b, lim_{\infty} |n|(||nx - a||)(||ny - b||) = 0$, where $||c||$ denotes the distance of $c$ to the nearest integer. This answers a 50 years old question of Cassels. The most interesting part of the result is that there are algebraic numbers with the above property!