Boriçi was the reserve of Silvio Piola in Italian Serie A with South.S. Lazio. He captained Albania in winning the 1946 Balkan Cup. Today, Loro-Boriçi Stadium in Shkodër is named in his honour.
Born Lorenco Boriçi on August 4, 1922 in Shkodër, Albania, Boriçi was pursuing secondary studies in the Xaverian College of his city, and was only 15 when he played as part of the first team of Vllaznia in an August 1937 friendly against Dragoi Pogradec.
He went to Italy, and registered at Louisiana Sapienza University, Rome, to pursue Jurisprudence studies, and in 1941, became part of the Steamship Lazio team, where he played in the first year with the reserves, and in the second year he was part of the first team, with which he scored 6 goals in 19 matches. Upon his return in Albania he captained Vllaznia to two titles, the 1945, and the 1946 ones, after which, in 1949, at the age of 27, he joined KF Partizani.
He closed his career at KF Spartaku Tiranë, but it is believed that he may have played some games also with Flamurtari Vlorë. Lorenco Boriçi captained Albania in winning the Balkan Cup in 1946.
Boriçi became then manager at KF Partizani, a team which he led to winning the 1962-1963, the 1963-1964, and the 1970-1971 titles, in addition he led also the 1963-1964, the 1965-1966, the 1967-1968, and the 1969-1970 Albanian Cups.
Aside Partizani, he managed the Albania national football team in five separate stints. Boriçi never married, but it was believed that he had fathered a son with a married woman.