The only information given was that the men were aged 21, 27 and 39 but there were no further details immediately available.
That came after the arrest earlier the night before of another man, 38, on suspicion of harboring the three foremen believed to have shot at the workers at a farm in Nea Manolada on the Peloponnese after the immigrants demanded six months back pay.
The incident sparked outrage from human rights groups and led to a boycott call on Twitter.
The arrests came not long after Citizen Protection Minister Nikos Dendias said that none of the workers being treated in hospital has been detained by police nor would be deported.
A Member of Parliament from the major opposition party Coalition of the Radical Left (SYRIZA) claimed that police had entered the hospital and arrested a number of migrants for not having papers, similar to raids conducted by the anti-immigrant neo-Nazi Golden Dawn party that has gone into institutions hunting for foreigners.
After visiting the local police station, Dendias said that he has personally instructed that “none of victims be expelled from the country.” Officials have promised “swift and exemplary” punishment for the perpetrators.
Labor Minister Yianns Vroutsis said the government would pass legislation in Parliament allowing police to crack down on uninsured work as immigrants are being routinely exploited and going unpaid and forced to work in horrendous conditions, activists have said.
Dendias said he would also visit the strawberry farm in Manolada where the Bangladeshi migrants work and the camp where they sleep to examine the conditions himself.