DoorDash said its agreement to buy Deliveroo, a British food delivery service, in a roughly $3.9 billion deal would give it a larger footprint in Europe and a presence in the Middle East, covering millions of users in more than 40 countries.

DoorDash's banner $3.9 billion acquisition of Deliveroo has overshadowed a second, equally significant acquisition by the delivery company.

DoorDash Inc. has agreed to buy UK-based food-delivery platform Deliveroo Plc for an equity value of about £2.9 billion ($3.9 billion), as the US company pushes into more overseas markets.