Kagan, who won confirmation as solicitor general a little more than a year ago, started off with a meeting with Senate Majority Leader Harry Reid, D-Nevada. The pair posed for pictures but refused to answer any questions from reporters.
"There's nothing more exciting than the [confirmation process] we're about to undertake," Reid told Kagan. "The great country that we're in is ruled by law, and that's what you're going to make sure continues."
He later issued a statement noting that his meeting left him confident that Kagan "is the right choice to replace Justice Stevens on the Supreme Court. She has a strong belief that the Supreme Court should be a forum where the rule of law wins out and where people from every walk of life can receive a fair hearing."
Kagan was also scheduled to meet Wednesday with Senate Minority Leader Mitch McConnell, R-Kentucky; Senate Judiciary Committee Chairman Patrick Leahy, D-Vermont; Sen. Jeff Sessions, R-Alabama; and Sen. Richard Durbin, D-Illinois.
Updated: 12:09 p.m.