"Given the UK's so-called special relationship with India as declared by the Prime Minister, these concerns should be raised with the Indian government; and urges the Government to investigate the reports and raise concerns with the Indian government," the motion says.
It also calls for the release of "multiple political prisoners" held by India and points out that Greenpeace activist Priya Pillai was banned from coming to Britain by Modi to address British MPs.
The outspoken Labour leader will challenge Modi on the issue during their meeting, media reports said, citing party sources.
Other signatories of the motion include John McDonnell and Alex Salmond.
Also, over 200 prominent authors including Salman Rushdie had asked Cameron to raise the issue of "rising climate of fear" and "growing intolerance" in India with Modi, in second letter from the PEN International within a month.