NFS4 is IMHO pretty close. The career structure is a bit different and while the tracks arent exclusively in europe a lot of them are. Be sure to check out both the PS1 and PC version. They're similar but also quite a bit different. Maybe you like one better than the other.
In NFS HP2 you are more like a globetrotter with only a few greece based tracks. Career structure is a lot more arcadey. Imho still hits a similar vein. Be sure to play/emulate the PS2 version which is way better.
Test Drive Unlimited 2 has the entire island of Ibiza to drive on. Its not exactly an euro trip. But its pretty good at making you feel like you are on vacation with expensive cars to chill out with.
Then there is World Racing which exclusively has Mercedes Benz cars and a few euro based maps. World Racing 2 sports mostly VW cars.
Test Drive Ferrari Racing Legends would be another car brand exclusive game. Never played it though.
Driv3r's Nice map is pretty awesome. The game isnt so much. I still boot it up every now and then to fuck around in Nice.
Beamng.Drive has an awesome Italy based island to drive around on.
Assetto Corsa has tons of great european road courses as mods. Its still just a sandbox and setting all the mods up is a pain in the ass. But damn i lost so many hours just cruising around on eg Battenbergring with a few NPCs.
The TT: Isle of man 2 is on motorcycles but i believe all tracks are based in europe(there are others besides the isle of man).
A third of Burnout 3 is located in europe. I like those tracks a lot. But it isnt exactly a 'chill' game.
There are tons of eurojank games developed by Davilex where you exclusively drive around europe/germany/the uk/france/etc. They are kinda trash but also kinda cozy. With eg mobygames you should find most of their output.
But yeah, i never realized how rare it is to have euro-centric racing game like NFS Porsche Unleashed.