Yes, South America, or Brazil to be more specific, built the Omega A (Carlton) till quite a bit after it was discontinued in Europe as the Chevrolet Omega. As far as I know it's the only Omega car ever built outside of Europe between Omega A and Omega B both. It basically came out there as it was going out here.
But the engines were a bit different. The top engine was the old Chevy 4.1. They had to use that when the 3.0 was discontinued in Germany. The 4.1 was the same engine they had been using in their version of the Opel Rekord C since the 70's, called the Chevrolet Opala, which interestingly had one of it's trims named Comodoro, or Portuguese for Commodore.

. Some of the other Opala trims were Diplomata and SS for the sports coupe. They build the Rekord C (Opala) in 2 doors coupe, 4 doors saloon and 2 and 4 doors estate from the late 60's till the early 90's when the Omega A replaced it. It was the same body shell as the original Opel Rekord C all the way through, changing only the front and rear fascias through the years. But although the body shell was Opel, the mechanic was very much American GM, including from the Impala.
Ford did the same thing in Argentina with the Taunus (The Cortina MKIII European cousin). They built the TC1 there, which had a coupe version as in Europe. But when they rolled out the TC2, unlike in Europe where the coupe was dropped, Ford Argentina just used the TC1 coupe body shell and stuck the TC2 front and rear fascias on it.
Interestingly, the old Chevy 4.1 was reworked by Lotus to make it more modern to be used in the Brazilian Omega A.
The Omega B was never made or sold in South America. Once time came to replace the Omega A they decided to import Holden Commodores from Australia and call them Chevrolet Omega. So there was never as far as I know a Chevrolet Omega B. The Middle East Chevrolet Omega is a Holden, yes.

So I guess every Omega B, regardless of where sold or if LHD or RHD were built in Russelheim.