Lilia Bencheva-Gramatikova was born in 1929 in Karnobat, Bulgaria. She graduated in architecture from Sophia Polytechnic (1953) and began her practice in the Sohpia State Design Organization Sofproekt from 1953 to 1965. She spent two years in Mongolia (1961-1963) designing a youth center and its administrative council building. She transferred to Main State Design Organization Glavproekt (1965) where she worked until her retirement in 1985.
Between 1967 and 1982 she spent several years in Halle-Neustadt, East Germany where she designed the "Haus der Dienste" an apartment complex for 16,000 inhabitants. She received several awards for her projects including the gold Order of Labor (1980) and the Diploma of Merit from the Committee for Architecture and Urbanism of the Council of the Bulgarian Republic (1981).