Monk feels that the visitors to Goodison Park should have had a penalty when Toffees defender Antolin Alcaraz handled the ball 'like a goalkeeper' inside the box.
"I didn't know you were supposed to play with two keepers," Monk told reporters. "I'd be very pleased if my keeper pulled off a save like that. We didn't get it so what can I say?
"I'm extremely proud of my team - the way they dug in for such a long period. They deserve that point for the effort they put in. All in all it was a well earned point."
He added: "It was a cheap yellow which Jonjo Shelvey gave away for the first booking. I explained it to him but he is a clever lad and understands that when you are on a yellow you can't make those kind of challenges."
Monk described Oliver's decision to award Victor Moses a spot kick in Swansea's 2-1 defeat to Stoke City as "absolutely disgusting" and was also aggrieved by the sending off of Federico Fernandez against Liverpool in midweek.