I won't be modest and say both the universities are best, but its always better to compare facts from both these Universities.
Lviv National Medical University - 1784 -2020
Odessa National Medical University - 1900- 2020
Lviv National Medical University - 2nd rank in Ukraine
Odessa National Medical University - not in the top 3
Lviv National Medical University - Yes
Odessa National Medical University - Not Recognized
Students who wish to choose between Odesa & Lviv National Medical Universities, clearly Lviv National Medical University is a better choice and out of these 2 universities only Lviv National Medical University is recognized by Medical Council of India (MCI)