What were the positions of the participants at the dinner?

Jefferson offered to host a dinner for Hamilton and Madison, in the hopes that wine and “gentlemanly conversation” would help resolve their disagreements. He held the dinner on June 20, 1790, in his new home on Maiden Lane in New York City. He recounts how he led the politicians to reach an agreement, by convincing Madison not to dissuade his party members from supporting the financial plan, even if he himself would not vote for it. In return, Hamilton agreed to use his influence to locate the new national capital on the Potomac River, a location that favored the Southern states which Madison represented. Ellis notes that Jefferson's account of the dinner is the only extant one. There is much more you can read on this at the GradeSaver link below:

http://www.gradesaver.com/founding-brothers/study-guide/summary-chapter-two-the-dinner