For a traveler aged 85 years, Bajaj Allianz company which offer insurance for overseas travel.
Bajaj Allianz Insurance offers coverage for $50,000.
As the traveler is 80+ the Bajaj Allianz company have medical subimits (capping). You can purchase the policy online by filling simple online proposal form and without giving any medical reports for issuance of policy.
However Bajaj Allianz provides an additional option where the traveler can purchase the policy online by submitting medical reports.