In 1967, he graduated from the Art High School in Sofia. In the same year, he was admitted to "Nikolay Pavlovich" VII - specialty "graphics". He graduated from the Academy in 1973, after which he started working at the Bulgarian Cultural Center in Prague as a freelance artist for a year. After returning to Bulgaria, Budin Mateev engaged in applied work. He held his first solo exhibition at the Cinema House in 1980. Since 1983, he has been presented with his paintings in general exhibitions organized by the foreign trade organization "Hemus" in Brussels and Moscow.

He participated in all OHIs in Sofia and the country until his death in 2021.

And these are the following common exhibitions in which he took part or received an award:

OHI - Stara Zagora, 1979 with "Composition", OHI - Haskovo, 1980 with "Landscape", OHI "The World of the Child" - Sofia, with "Children's World" , "Guests in the old house", OHI - Ruse, 1980 with "Park", OHI - competition for Sofia, 1985 with "Trainstation", OHI "Ludogorie" - Razgrad, 1985 with "House", OHI - Interior, Kazanlak , 1985 with "Evening" and "Stained Glass", OHI - Sliven, 1985 (small format) with "Street", "Sliven - the Market" and "Landscape", OHI - Pleven, 1988 with "Still Life", OHI - Targovishte, 1988 (watercolor) with "Street", OHI - Vratsa, 1988 with "Landscape", OHI - Vidin, 1988 with "On the balcony", OHI - Plovdiv, 1988 with "Harbor", "Landscape", OHI - Sliven, 1989 (small format) with "Landscape", "Still Life", OHI - Ecology, 1989 with "Landscape", OHI - Sofia, 1990 with "Poduene Station", OHI - Autumn, 1990 with "City", Participation in the exhibition "Grand Palais" - Paris, 1993 with "Ecology", OHI - Autumn, where he won the 1st prize, OHI - Varna, 1994 (Man and the Sea), where he won the III prize, OHI - Sofia, 1995 (Spring), OHI - "St. . Luka", 1995, OHI - Autumn, 1995, as well as participated in the International Painting Triennial - Sofia, 1996.