Alfio Mongelli was born in Rome.
At the age of thirteen he chose to undertake a career as an artist, beginning attending the Art Institute under the guidance of Pericle Fazzini, Ettore Col a and Leoncil o, and then the Academy of Fine Arts of Rome. In 1971 he obtained the seat of Sculpture at the Academy of Fine Arts in Frosinone, where he became Director from 1977 to 1984. He gets acquainted to important masters and personalities of the culture, in particular, the sculptor Giacomo Manzù and the Nobel Prize for Medicine, Rita Levi Montalcini.

In 1988, the Municipal Superintendent of Rome organises an great exposition in his honour at the National Musum of Palazzo Venezia in Rome, presented by eminent art critics as Pierre Restany, René Berger and Carmelo Strano. During the nineties he continued to intensify his exhibition activities with important expositions in Italy, Spain, France, Germany, in Budapest (Hungary), Toronto (Canada), Sapporo (Japan).

In Spain, in 1992, he was the sole representative of Italian Sculpture at the Universal Expo in Sevil e (Italy Palace) and participated in the ItalianTrade Center in New York with an exhibition covered by the American CNN which integrated it into a "Science and Technology" program, broadcasted in twelve replicas throughout the United States. After New York, the exposition was transferred to Toronto Canada at the Italian Culture Institute.
 
In 1995 he was invited to the Science Museum in Budapest to present 16 of his works. Subsequently he was invited to the University of Sapporo, in Japan, as the spokesman of a cycle of conferences on Art design and Monumental sculpture.
In that same occasion was presented the exposition Alfio Mongel i, 1965-1999. In 1991 he was invited to expose his works at the exhibition “Civitas Artis” during the displays of VI Congress of the CGIL Lazio, among other famous sculptors of the XXth century as Manzù, Fazzini, Greco, and Basaldel a. Later, in 1997 he participated in the International Art Biennal of Venice (for the region of Sicily).

In 2007 he was invited to expose at the University of Tsighua (China), at the Academy of Art and Design, in the second international edition of “art and Science” review.
In the same year he was selected among the 20 world-renowned artists for the realization of the monumental sculpture H2O to be placed at the Beijing Olympic Park. Additional y, in concomitance with the Olympic Games, he received an official invitation to the International Art Biennal of Beijing. Since the year 2000 he is the President of RUFA-Rome University of Fine Arts (the sole legally recognized Fine Art Academy in Rome).

He lives and works in Rome.

The Italian Nobel Prize for Medicine, RITA LEVI MONTALCINI, wrote: "The physics-mathematical rigour that features the important works by Alfio Mongel i is enhanced by freedom of expression which refuses all Scientific schemes.
The unity and synthesis reached in his creations,be they large sculptures made of stainless steel or expressed in graphics of geometric shapes, highlight the unique personality of the artist, who is among the most representative of Contemporary Art".