The funerals of the three soldiers were held in their hometowns of Rishon Lezion, Safed and Ofakim.
Aside from a Koran and a firearm, the terrorist was found to be carrying a knife and six magazines.
Prime Minister Benjamin Netanyahu said that the incident was serious and unusual and promised that it would be thoroughly investigated.
Three IDF soldiers were killed by an Egyptian police officer at the Israeli-Egyptian border on Saturday.
IDF Chief Halevi ordered the results of the investigation to be presented quickly and ordered a broader investigation of the border defense approach.