This subject has been extensively covered by Alexander Bergengrün and others. Perhaps a few odd bits and pieces from the archive of the Livonian Governor General are worth noting:
On 16 December 1700 Erik Dahlbergh wrote to Olof Hermelin, who was working on a refutation of the Russian complaints against Sweden, i.e. the reasons for attacking Narva. One of the items on the agenda was the supposed maltreatment of the Great Embassy when it passed through Livonia in 1697, notably the fact that Dahlbergh did not acknowledge the presence of the Czar and failed to show him the necessary courtesy. This was a point Dahlbergh found hard to accept. As far as he had been informed Peter was travelling incognito and had threatened to execute anyone who failed to keep his secret. How could the Russians possibly complain about this, the Governor General wrote. The Czar had made a point of staying among the servants and the "riffraff". Yes, Peter had even served wine to Lefort, the nominal head of the Embassy. When Lefort and Captain Johan Brask were playing card the Czar had stood behind Brask's chair just like another servant, Dahlbergh wrote to Hermelin. The Russian manifesto deserved a very harsh reply as their complaints were totally unfounded. They know no honour, the enraged Dahlbergh exclaimed.
Source: LVVA, fond 7349, op. 1, vol. 72