I remember there is a point in the Iliad where they try to put an end to the war. They have two men, one from each side, fight each other to see who gets to keep Helen and her riches. The Achaean champion was big Ajax, and the Trojan champion was Hector.
To my knowledge, the sacred truce was only called when one of the four Pan-Hellenic games were to take place. They include the Olympic Games, the Pythian Games, the Nemean Games and the Isthmian Games. Two were held every four years, but not on the same year. The other two were held on the same year, different months, every two years. Again, not falling on the same year of either of the other two.
- Is it feasible to say that one of these four games were taking place? Can we find out which game was taking place?
You can find an account of the single combat between Hector and Ajax at Perseus: Iliad, Book VII