Apart from fixing the cosmetic damage, bear in mind to get
plenty of protection back on - the damaged area is bare aluminium and an entry point for corrosion (white worms etc.) over the coming months.
When I curb damaged my diamond cut wheels (standard 1.4 s-line design, so same as yours?) I decided eventually to have them fully powder coated (in original Audi colour). They look almost identical (obviously without the diamond cut glint) but have the benefit of
much better resilience against corrosion & easier repair at home (as the finish is paint not lacquered bare metal). P-Zero tyres have helped too with their very good rim protection. Until the wheels were painted I used a lot of lacquer quite liberally applied, just to offer corrosion protection in the damaged area... As far as I can see from the photo, your's have been fully painted previously.
I think the diamond cut approach is is a great marketing idea to help sell cars, but really isn't a technology appropriate for car wheels used in the real world. The refurb folk I took mine to were Alloy Weldcraft in High Wycombe, who I would recommend. They admitted to me that even though they have invested heavily in being able to diamond cut for those that want it, that you really can't get enough lacquer on the (sharp'ish) edges at the edge of a diamond cut to offer the same level of corrosion protection compared with powder coated paint, so the finish will always likely 'fail' before a painted equivalent. The lacquer is also a much thinner layer than paint, so more susceptible to stone damage going through to the metal, whereupon you get water ingress and the corrosion cycle starts :-( Appreciate you may not be near High Wycombe to get yours done there, but same principle applies wherever.
(Actually Alloy Weldcraft are an interesting company - they say they get other companies sending wheels to them when they have extensive enough damage that they can't be fixed locally. They have samples of wheels they have 're-built' from what I can only describe as wrecks when original wheels simply are no longer available. The only scary thing is what they do to wheels they need to manipulate and weld in terms of heating them, but I guess you just have to trust a company that's been in business long enough to know what they are doing... I my case they said one wheel was a bit bent (possibly due to a pothole) and straightened it as part of the refurb. All I can say is the wheels felt perfectly balanced when the car came back.)