Yes. After creating the first alert with "alert me every time this occurs", on my next new alert, I would then change it back to "once" and then back to "alert me every time this occurs", effectively refreshing the selection. However, from what I can see on the CFD platform, not sure about the Sharedealing, it now resets all settings if selecting a new stock. If you are on the same stock but creating another alert, this technique worked for me.