Here are the list of banks and company that offers Free Travel Insurance in Philippines:

PSBank - Lost / Delayed Baggage, Flight Delay / Cancellation , Accidental Death / Disablement
Repatriation Benefit
Banco de Oro enjoy up to P5million free travel insurance (Travel Accident and Inconvenience Insurance Coverage)
Smart Gold-Smart Telecom Smart Gold rewards loyal subscribers like you with Free Travel Insurance. Now, you don’t only stay connected with loved ones when you travel abroad, but also feel assured because your travel needs are covered

smart gold free travel insurance.