Monk sparked controversy last month when he branded Stoke's Victor Moses a cheat after the Swans were beaten at the Britannia Stadium.
His latest frustration came during a stale Barclays Premier League contest at Goodison Park as his side, who were later reduced to 10 men, were denied a penalty after an unspotted handball by Toffees defender Antolin Alcaraz.
Monk said: "I didn't know you were allowed to play with two goalkeepers.
"I thought it was a great save from Alcaraz, with very strong wrists
It is something I will be showing my goalkeepers in training to make sure they get down well with one arm.
"But it was only with one arm, so I'll let that one go
He actually saved the ball
It is not like it just struck his arm
We all saw it, all the players saw it, but the ref didn't see it."
Referees chief Mike Riley has also been in Monk's firing line of late but the Swans boss has now met with him and Professional Game Match Officials Limited technical director Howard Webb to discuss grievances.
Monk said: "The comments I made at Stoke were for a reason
I just wanted clarification on a few different decisions that have gone against us with Mike and Howard and we had a good conversation.
"I am not here to complain about the refs
I think the refs do a great job
It is just about getting clarification so I can relay that to my players.
"At this moment in time we are having a lot of wrong decisions in a short period, and it is affecting us
We have to get through this period where the odd 50-50s go against us, rather than for us."
Monk, however, had no complaints about the 72nd-minute dismissal of Jonjo Shelvey - apart from with the player himself - which left his side needing to cling on for a point.
Shelvey barged into James McCarthy for an obvious second bookable offence after receiving a first yellow card for a petulant act.
Monk said: "The first, you can't kick the ball away
That is the one I am disappointed with Jonjo with
It is something he needs to learn from very quickly.
"Once we are on a yellow, at this moment in time, the way things are for us, it becomes highly likely we will end up with a red
Any sort of contact usually results in a red."
In those circumstances, Monk was pleased with the result.
He said: "I thought we were brilliant defensively after that
I said to the boys, you will probably never get a harder point than today in terms of the way the game panned out
I'm proud of the players and they should be proud of themselves."
Everton boss Roberto Martinez conceded the game was a flat occasion and even joked that it might have helped had his side conceded the penalty.
He said: "I haven't seen it but maybe we should have conceded early and opened the game up
For two teams with an incredible footballing philosophy, it was a bit of a bad game from an attacking point of view.
"We had to work really hard to stop Swansea but in terms of the way they were trying to run the clock down, I felt they were clearly very focused on defending well and they did extremely well but it became a frustrating game for us.
"We were just a little bit pedestrian
The way we moved the ball wasn't quick enough
We didn't have our normal tempo in possession and that allowed us to get frustrated.
"I think the red card was against us in terms of allowing Swansea to have a clear role from that point until the end."
Everton also lost defender Alcaraz with a shoulder injury after he collided with Wilfried Bony.
It had only been a fourth appearance of the season for the Paraguayan, whose first season at the club was marred by injury, and now he faces another lengthy spell out.
Martinez said: "That is a real negative
Antolin has damaged a joint in his shoulder
We will assess him tonight and tomorrow and now it seems he is going to be out for a long spell
It is a real shame."
Source : PA
Source: PA