Based on flash drives, papers and other seizures from the two Bangladeshis, the STF said they appear to be operatives of Ansarul Bangla, a terror outfit operating in Bangladeshi till it was banned recently.
Besides links with several murders of bloggers in that country, Ansarul Bangla is also known to have links with the Al Qaeda in the Indian Subcontinent or AQIS.
The two Bangladeshi nationals are 25-year-old Samsad Mian aka Tanvir aka Saiful of Sylhet district and 26-year old Riaz aka Riazul Islam aka Sumon of Khulna district.
Samsad Mian has a fake Aadhaar card in the name of Tushar Biswas. Samsad claims he is a civil engineer.
Monotosh Dey, 46, is a resident of the Bashirhat area of North 24 Parganas district about 100 km from Kolkata.
Some papers with the words 'Eden Gardens' and 'Dharmtala' - two key places in Kolkata - were also recovered from them.
"We got the central intelligence tip off just after the Durga Pujas, when preparations were beginning for the Under 17 FIFA World Cup," said Murlidhar Sharma of the STF.
"We immediately began surveillance in and around Kolkata. It was not easy to trace them as they did not stay in hotels or guest houses but at rail stations and bus stops most times. Four-five days ago, we narrowed down on the two Bangladeshis and caught them when they met with the arms dealer," he added.
Police will examine the seized material for a clearer idea of the motives of the suspected terror operatives. What is apparently confirmed is that the two Bangladeshis have been in India for the last 18 months but were not able to produce a passport or visa.