Malkowski, 32, earned a solitary cap for his country back in 2011 while playing for Lechia Gdansk.
He first came to the UK with Frickley Athletic in 2015, and has also played for Boston United and Belper Town.
Also joining Colls are centre-backs Jameel Ibe and John Cyrus, who previously played together for Frickley.
Striker Tom Corner has signed from Ossett United.
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