"The possibility of such a visit [of Italian politicians to Crimea] is being worked out," Slutsky said at a committee session.
On Wednesday, Russian parliamentarian Nikolai Kovalyov said representatives of many countries, including Germany and Italy, had shown interest in visiting Crimea.
Crimea rejoined Russia in March 2014, after more than 96 percent of voters backed the move in a referendum.
The West and Kiev did not recognize the legitimacy of the vote, imposing sanctions on Russia over what they called the "annexation" of Crimea. Moscow maintains that the referendum was held in accordance with international law.