In 1845, he teamed up with Henry Thomas Buckle, William Davies Evans, George Perigal, and William Josiah Tuckett in London in two telegraph games (one win and one draw) against a team of Howard Staunton and Hugh Alexander Kennedy in Portsmouth.
He won a match against Daniel Harrwitz (7-5) at London 1846.Walker used his column in Bell's Life in London to propagate organizing the international London 1851 chess tournament, the first international chess tournament.
Adolf Anderssen won, leading many to consider him the world's strongest player.