I'm a fan of shaped tubes, so I did a little research on Contini.
The obvious answer was that the bikes were made for Silvano Contini, as is common for ex-racers to do when they retire.
But I can't find any reference to him doing this.
However there is a Spanish brand, although they don't make road bikes, so perhaps the name is a coincidence.
What is interesting is the use of the Cinelli logo on the lugs and in Contini's head tube badge.
Apparently the lugs used on these bikes don't appear in the Cinelli catalogues and aren't found on other bikes.
The use of the Cinelli logo in such a blatant way seems unlikely if it wasn't authorised by Cinelli and it also seems unlikely that they would produce custom lugs for such a low volume manufacturer (Contini are quite scarce).
As you suspected Contini's use of the flying C wasn't with Cinelli approval snd there were legal actions taken. Contini insisted their use predated Cinelli's.
I've had 2 and both quite nicely made and finished.
I'm a fan of shaped tubes, so I did a little research on Contini.
The obvious answer was that the bikes were made for Silvano Contini, as is common for ex-racers to do when they retire.
But I can't find any reference to him doing this.
However there is a Spanish brand, although they don't make road bikes, so perhaps the name is a coincidence.
What is interesting is the use of the Cinelli logo on the lugs and in Contini's head tube badge.
Apparently the lugs used on these bikes don't appear in the Cinelli catalogues and aren't found on other bikes.
The use of the Cinelli logo in such a blatant way seems unlikely if it wasn't authorised by Cinelli and it also seems unlikely that they would produce custom lugs for such a low volume manufacturer (Contini are quite scarce).
Curious...
Here are a couple more I found:
https://get.google.com/albumarchive/114140439450188888660/album/AF1QipNcutTJj3llXcE2LvVaKBkjl23JXc9q4m3f3044
https://www.dropbox.com/sh/is2r0o00c1gbtul/i7t6W2czaI