The delegation will visit Massimiliano Latorre and Salvatore Girone in Delhi, lawmakers said in a statement.
The delegation leaders may meet their Indian counterparts during the visit, media here reported citing the statement from heads of foreign and defence commissions of both the houses of Italian parliament.
The visit is aimed at expressing solidarity of the parliament and the country with the two marines, the statement said. The statement, however, did not give any date for the proposed visit.
The marines, deployed on board Italian-flagged oil-tanker MT Enrica Lexie to guard it, say they mistook the fishermen for pirates. They are now staying in the Italian embassy in New Delhi awaiting trial.
Rome wants to try the marines in Italy claiming the incident took place in international waters. However, New Delhi says it has the right to try the Italian naval personnel as the victims were Indian on board an Indian fishing boat.
In New Delhi, Italian government today approached the Supreme Court challenging invocation of an anti-terrorism law against the marines. The petition will be taken up by the apex court on January 20.