Moore would eventually have ten second-place finishes in world-title competition. Nevertheless, he frequently competed with and beat all of the players whom he so often played second fiddle to in sanctioned tournament play. In fact, later in 1958, the same year he won the National Pocket Billiards Championship against Lassiter, he roundly defeated Mosconi in a two-day exhibition match in his home town of Albuquerque, with a final score of 500 to 397. Moore and Mosconi would battle it out many times in unsanctioned but publicized play. In addition to matches previously mentioned, they vied at Albuquerque's old Chaplin Alley on 1956; at the Highland Bowl in 1958; and later, in matches in Winston-Salem, North Carolina, Philadelphia, Chicago and Johnston City at the Jansco Brother's Stardust Open, where Moore would win the prize for "all-around honors".