The dispute between Halliburton and Chubb arose out of the Deepwater Horizon catastrophe in 2015.
The appointee has held a number of senior claims roles with both UK and international responsibilities.
The appointee will be responsible for division's operations in 51 countries and territories outside North America.
Evan Greenberg believes the company 'performed well despite a challenging environment'.
The appointee will have executive operating responsibility for retail P&C business including high net worth personal lines, and A&H.
The new hire will help position the company at the forefront of the casualty market.
The property/casualty insurer saw a net loss of $79 million in the first half of 2020.
The new personal cyber insurance will provide a range of protection and services to individuals as well as their families.
The appointee will oversee claims for overseas general insurance in 51 countries and territories.
The executive will also help grow the insurer's direct book in Egypt and Pakistan.