Important creatures come to the Galactic Senate to talk amongst each other to achieve their goals. The Jedi Council oversees visiting guests, as the Senate Guards escort them to their Senate Pods.
The Jedi will sometimes request to meet with visiting guests, if they believe the issue is in need of Jedi resolution.
Every once in a while, bounty hunters may try to assassinate arriving Senators.
Some visitors that are from planets in the Unknown Regions often refer to Jedi as "Peacekeepers" instead