A new and distinct Pyrus communis L. pear tree variety named ‘PE4UNIBO’ is particularly characterized by the following features: medium vigorous trees with semi-upright habit; bearing habitus mainly on 1 year old shoots and subsequently on 2-3 years old branches (like ‘Bartlett’); partial grafting incompatibility with quince rootstocks; medium late ripening (about 15 days after ‘Bartlett’); medium productivity; big size of the fruit (about 300 g) with pyriform-elongated shape (like ‘Abbé Fétel’); yellow-green skin with a nice red over-color on 70-80% of surface; tender and juicy white flesh, at full ripening stage and with a very good flavor and sweet taste; long storage capacity in cold room up to 6 months.