The meeting comes as Democratic Sen. Joe Manchin of West Virginia and Pennsylvania Republican Sen. Patrick Toomey try figuring out how to push their background check measure through the Senate.
Giffords and Kelly, a retired astronaut, have formed a political committee that supports candidates who back gun restrictions.
Giffords, a Democratic former congresswoman from Arizona, was wounded in a 2011 mass shooting in Tucson.
She and Kelly also planned to attend a lunch Tuesday with Democratic senators.
Source: Associated Press