Peter's mother was evacuated to South Wales in the war and he was born there, but he was brought up in Islington. As a schoolboy, he played for Middlesex and London Boys, before signing for Finchley.
Spotted by Reading and
signed for the Biscuitmen and first featured in the
first team in 1958-59. Unfortunately, Shreeve
suffered a broken leg that stopped him playing for the
Wales Under-23s when at Reading and then injury ended
his career as a forward in 1966.
However, as a non-league player, Peter went on to represent Chelmsford City and Wimbledon for three years each. Worked as a Games teacher and coach at Holloway School and was a coach at Charlton Athletic before joining Tottenham in the 1974-75 season as a coach. In 1977, Peter took over the role of Youth Team Manager.