I believed that all I had to copy is the "saved profiles" part with the given name file.
But although at the main page my given profile name is recognized, it is greyed out and I cannot get it activated (I can only start a new "single game"/"campaign").
What else needs to be copied ?

(Or is it perhaps in my home PC I have HD2SS installed and the other PC is only HD2 ?..note this copied profile is still a HD2 campaign mission and not a HD2SS mission).