Automation is just "Outsourcing to a computer" Seen that way, many outsourcing companies are just a halfway house to stuff that isn't quite fully automatable yet, but which might become so soon.
1) QA - the tech industry bleats about its automation putting people out of work and then creates millions of jobs mindlessly clicking buttons. shrug
2) Lean startup - creating jobs that are designed to be automated but giving them to Indians to do manually first to test if the idea has legs and the job is even worth doing. This type of work isn't going anywhere even if the individual jobs get automated (as they were designed to be).
3) Semi-skilled work - reading contracts and picking out relevant terms. So far most attempts at solving this problem have been a riotous joke.