New Formula One chairman attended an F1 Strategy Group meeting for the first time yesterday.
Carey was said to be "constructive" and was keen to simplify F1's regulations.
The sport has come under fire recently for being "over-regulated", and while nothing was agreed with regards to simplifying rules, it was decided that rules need to be made clearer.
Unlike other recent decisions, which were implemented quickly and to much criticism, work and discussion over simplifying the rules will be conducted over the winter.
One team boss is believed to have put forward the idea of a permanent stewarding panel in an attempt to make decisions more consistent.
As well as rules, penalties were also discussed with reports suggesting that one person at the meeting said that FIA race director Charlie Whiting has too much power and a new penalty procedure needs to be brought in.
Bahrain International Circuit - Winter testing