A single break decided each set as Tabilo saved all three break chances against him.
He will rise five places to a career-high 19 in the rankings on Monday, the first time in 19 years Chile will have two Top 20 players. Nicolas Jarry is the other.
After his second title of the year and career, Tabilo will play local Daniel Evans at Wimbledon. Ofner follows his first tour final by facing Aleksandar Vukic of Australia at Wimbledon.