[4] He was transferred to Fulham in 1958 for £16,000 (£472,000 today), where he formed a right flank partnership with England captain Johnny Haynes.

Leggat held the record for the fastest hat-trick in the English league, having scored three goals in three minutes in a 10–1 win for Fulham against Ipswich Town on 26 December 1963.

Leggat was selected in the Scotland squad for the 1958 FIFA World Cup in Sweden, playing in the Scots' matches against Yugoslavia and Paraguay.

[6] He began a second career as an analyst on soccer telecasts for the CBC at the 1976 Summer Olympics and at the World Cup.

[7] His son, also named Graham Leggat, was executive director of the San Francisco Film Society from October 2005 until his death in August 2011.