Career
Pailan Arrows
Bikramjit played for the Pailan Arrows in I-League which was made up of Indian Under-19 players. Churchill Brothers
After spending two seasons at Pailan Arrows, Singh signed for Churchill Brothers on 31 May 2012. He made his debut for Churchill Brothers on 20 September 2012 against Mohun Bagan during the 2012 Indian Federation Cup.
He then scored his first goal for the club on 24 September 2012 in the Federation Cup against Air India Football Club, scoring in the 90th minute to secure Churchill a huge 4–0 victory.
He then scored his first league goal for his club on 28 November 2012 against Prayag United at the Salt Lake Stadium in Kolkata, West Bengal which eventually led to Churchill Brothers winning the match 2–1. On 12 March, he had scored the equalizer in the home match against Semen Padang F.C. in the 2013 AFC Cup match.
Mohun Bagan
In February 2014 Bikramjit signed for Mohun Bagan on loan from Churchill Brothers. He made his debut for the mariners in the I-League on 16 February 2014 against Salgaocar at the Tilak Maidan Stadium in which he came on as a substitute for Chinadorai Sabeeth in the 77th minute as Mohun Bagan lost the match 0-1.
Bikramjit signed permanently with Mohun Bagan for the 2014-2015 I-League and was then loaned to Indian Super League club Football Club Goa for the 2014 edition