"We told him how much we admire his message of mercy and tenderness, and how he`s found new ways to communicate with people of every faith around the world," he wrote in a Facebook post.
"We also discussed the importance of connecting people, especially in parts of the world without internet access."
The real drone, dubbed Aquila, weighs less than a car and can stay in the air for months at a time.
However, some social media users were more preoccupied with the picture that was attached to the post, which shows Zuckerberg presenting the gift to Pope Francis in a suit.
"Where is the grey shirt? Man, the Pope must be a important man he got Mark dressed up!", Jason Beers wrote, receiving more than 2,500 likes.
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