Alexander was born in Chisinau, Republic of Moldova. At the age of 12, he began to study classical guitar at the Valeriy Poleacov Music School and with the professor Anatoly Zakharia.
In 1998, he joined the Ann’Sannat Celtic music ensemble as a guitarist. As part of this ensemble, Alexander performed in concerts and festivals including in Moldova, Ukraine, Romania, Hungary, Russia, Kazakhstan, Lithuania, Estonia, Czech Republic, Germany, and China. In 1999, the album Welcome into the morning was recorded, which includes traditional Irish, Scottish and Polish music in original arrangements.
In 2008, together with the professor Margarita Ciorici from the Academy of Music, Theater, and Fine Arts of the Republic of Moldova, he created an ensemble of Greek and neoclassical music, named Metafora, and wrote arrangements for a chamber ensemble. In 2009, as part of the ensemble, he released the album Dreaming, which included interpretations of the music of contemporary Greek composers Manos Hadjidakis and Mikis Theodorakis.As part of the ensemble, he became a laureate of the Tamara Katsy Fifth International Festival of Greek Song (Mariupol, Ukraine, November 2008), as well as a participant in the "Pontiaco Triimero" Festival of Pontic Music in Athens (September 2009).Alexander Samodum performs solo concerts, as well as concerts with chamber ensembles and orchestras in Europe and Asia on the stages of various concert halls of the world.Since 2013, he has been writing original compositions for the harp guitar, acoustic guitar, and flute. Alexander’s repertoire includes Medieval, Irish, Greek, Balkan, Moldavian, Ukrainian, Sephardic, Tibetan overtone and throat-singing music, as well as his own fingerstyle compositions and other variuos guitar music. In 2020, he started original musical project named AcousticLand. He began writing chamber trio compositions (guitar, cello, and double bass) in 2022. In 2023, Alexander recorded EP-album of neoclassical music Children of the Ocean. The album was presented in concert at the Gabinete Literario in Las Palmas de Gran Canaria, Spain, in May 2023. Alexander Samodum also organizes and gives charity concerts. In 2023, funds from his recital in Cambridge (UK) were sent to the Ukrainian children's hospital Ohmatdyt.
In 2024, he began collaborating, playing concerts and recording in a duet with classical guitarist Dimitri Illarionov. The musicians presented a new concert program "Letters of Light" for a duet of harp guitar and classical guitar in 2024 at Holy Trinity Church, Las Palmas de Gran Canaria.
Alexander Samodum, as a composer participated in the creation of documentary films: "Unknown Karaites", "The Army that Leapt Through Time","Intraterrestrial. A fleeting contact", "My Pilot, Whale" and others.