the last time I heard something about asgaard was years ago but as far as I know they're almost exclusively in personal security.
It's true that on the fringes there are private intelligence companies but the way the US has used PMC's, which at some point outnumbered american soldiers in the middle east, is a privatization of war not really thinkable in europe.
If the UK is part of Europe, there are Aegis, Erinys, Control Risks, STEPP, and many others. In France, there are Æneas, Anticip, Corpguard, Défense Conseil International (linked to French government), GEOS, KB (they specialise in private arms trading), etc.
It's true that on the fringes there are private intelligence companies but the way the US has used PMC's, which at some point outnumbered american soldiers in the middle east, is a privatization of war not really thinkable in europe.