What are the best performing tyres on the Fabia Greenline hatchback?

Depends what you mean by best performing really doesn't it.

Do you want wet grip, cold grip, dry grip, smooth surface grip, stopping and direction change, low rolling resistance?

Even with all of those answered, you're still going to come down to a subjective range.

What tyre size have you got too, as that will affect what options you've got.

What a global question

You have to be more precise about your needs.

But just to be replied you, here's my opinion:

If you have to much money, go for Michelin. (Expensive)

If you want good tyres with good price, go for Lassa Tyres. (Mine)

If you want an adventure in your life, go for Rockstone (Never)

Hope I could help