Hello!
On the contrary, the scope of the remembered variable is always Global, so you can add as many selections from across many markets as you want. Just make sure you have selected the option "Add new to already remembered" instead of "Create a new list every time".
Actually, if you want to address a set of remembered selections for a particular market, you should include the market's ID in the name of that variable, e.g. mysels_market_id.