Details of what he did and whom he met have not been made public but pictures have surfaced on social media of some of his meetings.
An Apple spokesperson has not responded to a request for comment from CNBC.
Here's what we know Cook did at Davos.
It's unclear what was discussed and Brazil is not yet a major market but could hold potential due to its status as an emerging economy.
Bolsonaro is a divisive figure who has made many inflammatory comments in the past few years.
In 2013, he said he would "rather have a son who is an addict than a son who is gay," according to a list of comments compiled by The New York Times.
Cook came out as gay in 2014 and is a huge advocate of LGBTQ rights and equality in the workplace.
Cook was pictured speaking to Armenian Prime Minister Nikol Pashinyan. The Armenian leader's senior advisor Arsen Gasparyan confirmed the meeting on his Facebook page.
"What a great start at the World Economic Forum in Davos, with perhaps a bit of magic waiting somewhere behind this morning," he wrote.
Again, it is unclear what was discussed, and Armenia is not a major market for Apple.
Cook met with Dubai's Crown Prince Sheikh Hamdan bin Mohammed Al Maktoum.
According to a tweet from the ruler, he discussed the "advancements of global firms in the region," suggesting that the United Arab Emirates is a good way to tap the broader Middle East market.
Apple has a 25 percent market share in the Gulf Cooperation Council area, which includes the UAE, according to data from IDC.
Sebastian Kurz, the chancellor of Austria, tweeted on Thursday that he also met with Cook.
They discussed how to "successfully shape Europe's digital future."
The Financial Times reported that Cook is set to also meet with Italian Prime Minister Giuseppe Conte.