Throughout the Harry Potter franchise, Lord Voldemort always seemed to choose Albania as the perfect hiding place. As far back as Harry Potter and the Sorcerer's Stone, Voldemort was known to have retreated to Albania in a weakened state after taking on the Potters, and has since revisited the Eastern European country several times throughout the franchise. While to some this may seem like a completely random setting for the Dark Lord's rehabilitation, the remote Albanian forests hold a special significance in the Wizarding World.
Aside from being a far away, remote location that could easily hide an injured Lord Voldemort, Albania's history in the Harry Potter franchise and specifically with the Dark Lord is deeper than most realize. After murdering Lily and James Potter in 1981, but failing to kill the young Harry, Voldemort, seriously weakened from the strain of creating seven Horcruxes and from the rebound of the Killing Curse intended for Harry, chose to flee to Albania in order to recover, staying there for a decade before Professor Quirrell found him and Voldemort saw an opportunity to regain his power. However, this had not been the first time that Voldemort had visited Albania, and wouldn't be the last.
Voldemort's obsession with Albania leads all the way back to one of the founders of Hogwarts School of Witchcraft and Wizardry, Rowena Ravenclaw, as well as connecting directly to his rise to power as the Dark Lord. There is, however, one major event in the Harry Potter timeline that explains Voldemort's constant returns to the country.
Though Albania is rarely mentioned in the Harry Potter film series, the novels expand much further on the significance of the Eastern European country, which it can be assumed also carries over to the films. Before Albania became Lord Voldemort's hiding place, it was the site chosen by Helena Ravenclaw to hide her mother's stolen diadem. Helena hides the diadem in an Albanian forest because of its remoteness, making the diadem incredibly difficult to find. Despite this, Tom Riddle would find it centuries later and turn the piece of jewelry into his fifth Horcrux. Even though Riddle brought the diadem back to Hogwarts after turning it into a Horcrux, Albania would've certainly become an important location for the budding villain.
With the milestone of the creation of a Horcrux, it makes sense that Lord Voldemort would feel a connection to the Albanian forest, potentially feeling as though a part of him still lives there. This would reinforce his decision to hide in Albania both after the attack at Godric's Hollow and after his failed attempt to steal the Sorcerer's Stone. He potentially also traveled back to Albania after the events of Harry Potter and the Sorcerer's Stone because he was confident that one of his followers, in this case Peter Pettigrew, would find him there just as Quirrell had. Without being found in Albania, Voldemort wouldn't have learned of the Triwizard Tournament, and wouldn't have devised his Goblet of Fire plan to kill Harry Potter and reinstate his former vitality. It would seem that Lord Voldemort shared a connection to the Albanian forests that few could relate to, making the country's appearances throughout the Harry Potter franchise all the more poignant.