Halme started his youth career at FC Honka, making 1 senior appearance before joining Klubi-04, where he made 15 appearances and scored once.[citation needed]
HJK Helsinki
The winners of the 2015 Finnish League Cup HJK Helsinki brought in Halme from Klubi-04 on a three-year deal expiring at the end of the 2018 season as stated in his contractual obligation.[7][8][9] He made 29 league appearances over three seasons with the club, scoring once.[citation needed]
However, Halme picked up a serious foot injury during one of his first training sessions at Leeds in January, which was to rule him out for the remainder of the season.[12] After nearly nine months out injured, on 27 August 2018, Halme made his first appearance for the club representing Leeds Under 23's against Queens Park Rangers' Development squad.[13] On 23 November 2018, Leeds' first-team head coach Marcelo Bielsa gave Halme special praise after returning from his long injury layoff.[14] He made his debut the next day in the EFL Championship against Bristol City in a 2–0 win, after being named in the starting lineup after an injury to Pontus Jansson and long-term injuries to Luke Ayling and Gaetano Berardi.[15]
He scored his first goal for Leeds on 6 January 2019 during a 2–1 defeat to Queens Park Rangers in the third round of the FA Cup.[16]
Halme was regularly named as an unused substitute on the bench for the first team squad in the Championship, but still featured regularly for Carlos Corberán's under 23's side[17] that won the 2018-19 Professional Development League Northern Section. They then became the national Professional Development League champions by beating Birmingham City in the final.[18]
Barnsley
On 3 July 2019, Halme joined Championship club Barnsley for an undisclosed six-figure fee.[19] He made his debut for Barnsley on 13 August in a EFL League Cup match against Carlisle United.[20] He scored his first goal for Barnsley in a 2–2 draw with Derby County on 2 October 2019.[21]
Return to HJK
On 25 July 2022 it was announced that Halme had signed a contract with HJK until the end of 2024.[22]