Fight*

From what i've read there were scattered reports of soldiers on both sides (mostly German) jumping across at the end of the truce, and both sides urged the other to surrender and desert. However, many of the soldiers still believed the war would be over rather quickly so to many, surrendering would have been pointless. In the source I cite below (p63) the author does note that a deserter has fled across no-mans land.

From the Letters written from the English front in France between September 1914 and March 1915 http://www.archive.org/stream/letterswrittenfr00hulsrich/letterswrittenfr00hulsrich_djvu.txt (ctrl+f christmas)

"They protested that they had no feeling of enmity at all towards us, but that everything lay with their authorities, and that being soldiers they had to obey. I believe that they were speaking the truth when they said this, and that they never wished to fire a shot again.

Regarding the end of the war

and told me that we are being absolutely misguided by our papers, that France is done, Russia has received a series of very big blows, and will climb down shortly, and that the only thing which is keeping the war going at all is England ! They firmly believe all this, I am sure. They think that our press is to blame in working up feeling against them by publishing false " atrocity reports."