He made his way into the reserve side before spending a period on loan at Ton Pentre and was released by the club during the 1962–63 season and joined Pembroke Borough.
In 1963, Newport County manager Billy Lucas offered Reece another chance at professional football and, after just one season Somerton Park, his impressive displays convinced Sheffield United to pay £10,000 in April 1965 to sign him.
He returned to his hometown club Cardiff City in September 1972 alongside teammate Dave Powell in an exchange deal for Alan Warboys.
[6] Reece left the club at the end of the season and joined Swansea City where he spent a short time before retiring.
On retiring from his playing career he ran a family heating business before becoming a hotelier in Cardiff, running the Clare Court hotel in Grangetown.