On July 11, 1926, Dr. Masini married Elena Grech, and had four children in all: Mary Rosaria (known as Rose), Joseph, Franco, and George.
In the editorial of the Times of Malta dated 21 April 1947, Mabel Strickland said that "if the electorate of both Islands returns any one party to Power with only a narrow majority, it is understandable that Gozo is out to make its voice heard.
Dr. Masini was active in several other organizations, especially the Leone Philharmonic Society, the National Festivities Committee, and the Gozo Public Library.
A street in Victoria, Gozo, as well as a meeting room in the Teatru Aurora (the Leone Band Club's headquarters) are dedicated to him.
His daughter, Rose received the "Ġieħ il-Parroċċa tal-Katidral" (Gozo Cathedral Parish Award) on behalf of her late father.