As expected, the U.S. solicitor general's lack of judicial experience and her previously voiced support for a policy banning military recruiters on some college campuses came up for discussion, The Washington Post reported.
Kagan stopped by to chat with three Democratic senators and two Republicans, including Alabama's Jeff Sessions.
"She indicated she felt she had the experience to do the job, and she didn't hesitate in that answer," said Sessions, the ranking GOP member of the Senate Judiciary Committee that will hold a hearing on Kagan's fitness to succeed Justice John Paul Stevens on the nation's highest court.
Sessions also expressed concerns about Kagan's stance on the military recruiting issue.
Senate Minority Leader Mitch McConnell of Kentucky cited a concern that Kagan might be a "rubber stamp" when it comes to matters favored by the Obama administration.
Senate Majority Leader Harry Reid of Nevada voiced his support for Kagan, calling her "the right choice" for the court. He said he would try to make the nomination process "as smooth as possible" for her, the Post reported.
Kagan didn't respond to reporters' questions.