The High Mountains of Portugal by Yann Martel (2016)
The first story is from 1904, when Tomas, a Lisbon library/archive employee, finds a diary from a 16th century priest who ends up in Africa. (I consider this the fourth story.) The priest is disappointed and works on a religious artifact that Tomas thinks ended up in a village in northeastern Portugal, an area called High Mountains, though it turns out that they aren't really mountains, just boulders. To get there, since he only has 10 days off from work, his rich uncle gives him one of his cars, a Renault (remember, we are in 1904). I found the car to be one of the most colorful characters in the book - all the difficulties in driving an early car - having to oil it in numerous places, feed it water, gas - which of course wasn't available in many towns, he had to buy lice medicine that had the same ingredients.
The second story is in 1938, where a coroner is working late, his wife comes in and goes into a long monologue on her take on the Bible (maybe the author's view) and then there's a really strange sequence with a old lady from the high mountains who wants him to autopsy her husband.
The last story is from 1980's about a man who was born in Portugal, but his family moved to Canada when he was a toddler. When his wife Clara dies, he feels lost, and when work sends him to Oklahoma, he visits a primate research center and feels a connection with one of the chimpanzees. The two of them end up in the high mountains of Portugal. Here was one more intense human - animal relationship like Pi Patel and his tiger. This man learns to live more simply and appreciate life from the chimp. And in a way, all the stories are brought together in the end.