Wednesday's statement came a week after Cpl Francisco Javier Soria Toledo was killed during the Israeli military's exchange of fire with the Lebanese militant Hezbollah group in a disputed border area.
Spain's UN ambassador quickly blamed Israel, and a UN diplomat has said Israel apologised through several sources, including an apology from its ambassador in Madrid to Spain's foreign minister.
A senior UN official said a UN technical investigation on the ground, to determine the facts of what happened, should be completed in the next three days. The UN is also immediately launching a board of inquiry to look into the wider aspects of the incident.
The violence along Lebanon's border, which also killed two Israeli soldiers, was the deadliest escalation on the disputed frontier since the 2006 war between Hezbollah and Israel.
A council diplomat said Russia blocked a French-drafted press statement on Tuesday that would have condemned the Hezbollah attack on the Israeli soldiers as a violation of the resolution that ended the 2006 war as well as the death of the Spanish peacekeeper, saying it was "unbalanced."
The proposed statement, supported by Spain and many other council members, also expressed grave concern over the deterioration of the situation along both sides of the  Blue Line separating Lebanon and Israel, the diplomat said.

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