A new and distinct Pyrus communis L. pear tree variety named ‘PE2UNIBO’ is particularly characterized by the following features: medium vigorous trees with semi-upright growing habitus; bearing habitus normally on spurs on 2-3 years old branches and on 1 year shoots; good grafting compatibility with the main quince rootstocks; early ripening (about 15 days before ‘Bartlett’); high and constant yield and early bearing; good size of the fruit (over 200 g) with regular pyriform shape; green skin at picking time and yellow-green at full ripening stage (after the cold storage), with an attractive red-orange over-color in the fruit surface previously exposed to sun; tender, juicy and white flash, with a very good flavor (good sugar-acid balance) at full ripening stage; long storage capacity in cold room, up to 5-6 months.