Enckelman represented Finland and played for TPS Turku, Aston Villa, Blackburn Rovers, Cardiff City, St Johnstone, Heart of Midlothian and IFK Mariehamn.

However, the signing of former Manchester United goalkeeper Peter Schmeichel put a considerable damper on things, as, apart from the matches in Aston Villa's Intertoto Cup campaign of that season, he was left with virtually no playing time.

[5] The incident led to further controversy when a rival fan charged onto the pitch and approached Enckelman, before making an offensive gesture directly to his face.

He made his debut for Cardiff on 29 January as a substitute in a 3–1 victory over Queens Park Rangers after Michael Oakes was forced to be taken off after taking a blow to the face.

On 23 September, he made his first appearance of the season in a 1–0 loss to Swansea City in the League Cup, the first South Wales derby to take place in seven years.

[14] It was originally thought that the injury would keep him out for two months but Enckelman's knee failed to respond to the surgery meaning he would miss the remainder of the season.

[15] The following season, Enckelman faced another challenge to be the number one goalkeeper at Cardiff with the signing of Scottish international David Marshall from Norwich City.

On 7 August 2010, Enckelman appeared as a trialist for St Johnstone in their friendly match against Real Valladolid, keeping a clean sheet in the process.

However, he lost his debut when Georgios Samaras scored through Enckelman's legs to give Celtic the lead 1–0 and the game stayed that way until the final whistle.

[26] On 13 June 2013, it was announced that Enckelman had signed a short-term contract with Veikkausliiga side IFK Mariehamn, returning to his native Finland after spending 14 years abroad.