He won 21 times on the European Tour; only fellow Scot Colin Montgomerie has accumulated more European Tour titles without winning one of golf's four major championships. His best finish on the European Tour Order of Merit was second, which he achieved in 1984 and 1995. In total, he finished in the top-10 on the list 10 times. He previously held the record for the most career appearances on the European Tour, with 706. At the 2020 Hero Open, Miguel Ángel Jiménez passed Torrance for most starts on the European Tour.