"Until such measures are in place on the EU level, we ... will consider introducing on the national level temporary measures of visa ban, or restricting border crossing for Russian citizens holding EU visas, in order to address imminent public security issues," Latvia, Lithuania, Estonia and Poland said in a joint statement.
Russian Deputy Foreign Minister Alexander Grushko said Moscow would not let the move stand "without consequences," according to RIA news agencies.
"If Brussels decides to shoot themselves in the foot once again, this is their choice," he said.
Czech Foreign Minister Jan Lipavsky said the EU's executive Commission would indeed look at ways to go further, including what can be done with what Lipavsky said were about 12 million Schengen visas already issued for Russians - referring to the 26-country zone of open borders.