The Cappielow squad yesterday reported to the club's Quarriers training base to begin the first day of pre-season training.
And they were joined by German-born midfielder Mensing and former Stockport County youngster Wilkie - both of whom are currently out of contract.
Mensing, 29, made over 150 appearances for Hamilton and was a key member of the Accies side that earned promotion to the SPL four years ago.
And 21-year-old midfielder Wilkie, who returned to Scotland in 2009, was unable to make an impact last season due to a persistent Achilles injury.
Ton boss Moore is delighted to have brought the duo in for pre-season and has confirmed his interest in tying them up for next term.
Moore told the Tele: "Simon is one who we have offered facilities to. He has not got anything at the moment and while that is the case then we are still in the frame.
"He would be a good addition to the squad, there is no doubt about that, and he is very experienced and can play in a number of positions.
"That is something that might be vital next season again, so he is one that we are definitely interested in.
"Kyle is still just a young boy who was at Hamilton and who Mark McLaughlin obviously knows - he recommended him and said he is a very good player.
"At the moment we are bringing boys in to have a look at as we are still a bit short on numbers. It does us no harm to have a look at some of them.
"But we are only inviting boys in that we think can make the squad better - there is no point in bringing people in that aren't going to improve the side."
However, one player that was not among the group was winger Iain Flannigan, who was invited back to prove his fitness after fracturing his elbow during a short spell with Ton last season.
He said: "Iain Flannigan hasn't turned up - I think he knew what time we were coming back and at this moment in time I don't know if he has something else in mind."
But Moore is certain that his players have returned from their summer holidays in rude physical health and was content with their efforts yesterday.
He said: "All the boys were in good condition - that's the thing nowadays and everybody has changed their attitude towards their fitness in the summer.
"They were all given a programme to follow. They weren't given that much but it was still good to see they were in good shape. I think the hardest thing they had to do was the bleep test and they got good results in that. We will step it up as the week goes on and see how they get on."