After training with the Mohun Bagan-affiliated SAIL Academy as a teenager, Pulamte spent the 2017–18 season with Keinou Library & Sports Association (KLASA), a semi-professional club participating in the Manipur State League (MSL).
On 10 September 2017, he scored the lone goal in a 1–0 victory over his future club, NEROCA, after just 20 seconds, setting a new MSL record for the quickest goal in league history.
[2] In May 2018, Pulamte signed a two-year contract with I-League club NEROCA.
[2][3] He made his professional debut on 27 October, replacing Manglem Meitei in the 77th minute of a 2–0 defeat to East Bengal.
[4] In September 2022, Pulamte signed with Real Kashmir, returning to the I-League after stints with Wangoi FA, Garhwal and Sagolband United.