Thompson travelled to Hampden on Friday along with St Johnstone's Geoff Brown, Hearts chief executive David Southern, Hamilton chairman Ronnie MacDonald, George Fraser of Inverness and Kilmarnock's Michael Johnson to discuss the SPL's plans for league reconstruction with chief executive Neil Doncaster and chairman Ralph Topping.
The so-called "snubbed six" sought the meeting after growing disillusioned at the lack of communication from the SPL with regard to drastically cutting the league.
Thompson and Southern last week floated the idea of play-offs at the head of the table as well as for relegation, but that idea was never likely to be seriously considered as a way of deciding the league title.
All 12 SPL clubs will now meet on January 4 for further discussions before deciding the best way forward for the league.
Thompson said: "It was a constructive meeting and a worthwhile exercise because it allowed the guys not on the steering group to get together and discuss a few things.
"There were things people wanted to get off their chest but the discussion was all very positive. There is a willingness to change, I think everyone recognises the need for us to do something.
"It is just what form it takes and everyone has differing opinions on that.
"That's why it was important to get people together and we will now go into the January 4 meeting with plenty to think about.
"A number of topics were discussed, such as the make-up of the leagues and should it be ten teams or not, as well as things like a winter break or maybe the season starting a bit earlier to get games in. It is not going to be easy to keep everyone happy but at least we all had the chance to get round the table and say our bit."