Playing their first top-flight match since 2004, Leicester left it late to deny Everton on Saturday, with Wood curling in from just inside the penalty area to delight the King Power Stadium crowd.
Everton, still reeling from the loss of Ross Barkley – who will miss six to eight weeks with a knee problem suffered on the eve of the campaign – started brightly and took the lead thanks to Aiden McGeady's stunning 20th-minute finish.
Record signing Leonardo Ulloa, who joined from Brighton and Hove Albion for a reported fee of £8million last month, provided a swift response within two minutes for Leicester, though.
With half-time looming, Everton took the lead again thanks to Steven Naismith's well-taken effort from inside the penalty area, but Wood's late strike ensured both sides would share the spoils.
Leicester responded with a spell of pressure but their opponents broke the deadlock thanks to McGeady's outstanding goal, which came after Pearson's men failed to deal with a corner from the left and follow-ups from Leighton Baines and Sylvain Distin.
McGeady and Naismith wasted chances to restore Everton's lead but the latter made amends in the final minute of the half, lashing a deflected cross from Baines into the back of the net to delight the travelling fans.
Schlupp's miss was soon forgotten, though, as Wood pounced with his late leveller.
