I recently found this in Golf Monthly (3/1914), an old British golf magazine:
"Mungo Park, younger brother of Willie Park, has returned to Musselburgh after being engaged as professional in the Argentine for over ten years. Park speaks highly of the possibilities of the game in the Argentine, where they have excellent country for laying out links. Mr. VG Scroggie, one of the well-known families of Carnoustie golfers, was largely responsible for introduction of golf to the country. The chief course is at San Martin. It was laid for the Buenos Ayres GC and is 6300 yard. Park was the constructor at the cost of £10,000, and on one green alone, £1000 was spent. they have now fifteen men keeping the course in order, with six machines and two motor mowers."
Its my impression John Park was in Argentina for about the same length of time, maybe longer.