Exeter City signed Steve Basham on a free transfer from Oxford United where he had scored nearly fifty goals in around 190 league and cup games. He was a member of the City squad that won successive promotions in 2008 and 2009. 

Steve commenced his career with home town club, Southampton. Successfully working his way through the Saints youth scheme he earned his first full contract in May 1996. He went on to feature in 21 first team games, as well as having a short loan spell with Wrexham in February 1998. Steve moved to Preston North End for a fee of £200,000 in February 1999, scoring 16 goals in 78 matches. He then joined Oxford in August 2002 where he also played in a midfield role in addition to his more normal striking position.

After five seasons at Oxford, Steve signed for Exeter in July 2007 and made his Grecians debut at Altrincham in August 2007 and scored in the 4-1 victory. He was to play 33 league and cup games, scoring six times, as City won promotion to return to the Football League. The following season, as Exeter again achieved promotion, Steve made 25 appearances (3 goals) in all competitions. Although Steve did not feature in the 2008 play-offs, he came on as a late substitute when the City clinched promotion at Rotherham on 2 May 2009.

That turned out to be Steve’s final City appearance as he was released, soon agreeing a deal with Luton Town in August 2009 prior to later playing for Hayes and Yeading (loan) and Brackley Town eventually finishing his career with Oxford City in 2014. Away from football, and living in Woodstock, Steve trained to become an accountant and (as of 2023) was head of finance for a transport planning and civil engineering consultancy based in Oxfordshire.