In 1797, on the eve of the inauguration, George Washington, John Adams and Thomas Jefferson dined at the Presidential Mansion in Philadelphia. An article from the American Heroes thread
The Dinner, ReduxTo be sure the evening got off to a bad start because Jefferson immediately declared his unwillingness to join the Cabinet or take part in the Peace Delegation to end the quasi-war with France. "As to my participating in the administration, if by that he [Adams] meant the executive cabinet, both duty and inclination will shut that door to me. I cannot have a wish to see the scenes of 1793 revived as to myself, and to descend daily into the arena like a gladiator, to suffer martyrdom in every conflict".
As a matter of fact he planned to head straight back to Monticello as soon as he was sworn in as Vice President. This rather final statement of abdication produced a big scary smile from General Washington. Because taken in combination, it was an outright rejection of Adams bold (some might say naive) bipartisan strategy of bringing together Federalists and Republicans within a unified cabinet. This radical proposal had led Washington's advisers to threaten to quit en masse. But fortunately for Adams, General Washington thought it was a fine idea.
Therefore the outgoing President prevailed upon Jefferson to lead the peace delegation to Paris. This was not at all easy; firstly Jefferson's chief lieutenant James Madison had also refused to participate, and secondly because it was not at all clear that a settlement was possible. This was because the French Regime was not only unstable, but held the Federal Government in low regard. Needless to say, Washington succeeded, both Jefferson and Madison headed off to Paris and the result, whilst disappointing and controversial, was largely supported by both political parties.