Torkil Eyðfinsson Veyhe (born 9 January 1990) is a Faroese former professional road bicycle racer, who rode professionally between 2017 and 2020 for Team ColoQuick–Cult, Team Waoo and Riwal Securitas. He also rode for the national cycling team of the Faroe Islands at the Island Games, winning two gold medals, four silver medals and two bronze medals. In 2016 he rode for the Danish national team at the Danmark Rundt and in 2017 at the European Road Championships in the men's road race. Earlier he rode for the DCU team Team WeBike–CK Aarhus, the Danish club Odder Cykel Klub and the Faroese club Tórshavnar Súkklufelag. In 2016 he won his first A-race in Denmark and his first UCI points.