Scoring one goal in the Champions League is a remarkable achievement in and of itself, but getting a hat-trick is something exceptional. England has produced more than its fair share of hat-trick scorers, with eight Englishmen scoring three goals at least once throughout their European careers. However, only two players have managed to do so in the Champions League. The first was Italian striker Giuseppe Meazza who played for Milan and Italy between 1919 and 1943. He scored his hat-trick in a 7-0 win over Pontedera on 25 September 1938. The second is Spain's Alfredo Di Stéfano who was part of Real Madrid's squad that won the tournament in 1958, 1960, and 1962. He scored his hat-trick in a 6-1 win over Euzkadi on 4 October 1959. So yes, it is possible to score a hat-trick in the Champions League. Two greats of their time scored three times in this prestigious competition and they are the only ones to do so.