Shiv Gupta, the company’s country head for private banking, in an interview to Bloomberg said for the wealth division, India is a priority growth market, one of 15 across the world.
"We expect assets under management from Asian markets to grow between 30% and 40% per annum," Gupta added.
RBS is also planning to increase its wealth management employees by 54% to 100 in two years.
Gupta also said the bank will add 20 more relationship managers in the country, taking the total to 45 in that period.
RBS currently manages about 800 family accounts in India through offices in Mumbai, Delhi, Chennai and Bangalore.
RBS is competing with rivals including Morgan Stanley, UBS and Citigroup to establish its foothold in the rapidly growing India market.
According to a Capgemini and Merrill Lynch Wealth Management report, the combined wealth of millionaires in the Asia-Pacific region will increase 8.8% annually until 2018, compared with a global average of 7.1%.