[2] Galabov made his competitive debut on 12 December 2012 in a Bulgarian Cup game against Spartak Varna, coming on as a substitute in the 56th minute.

A year later, on 14 December 2013, he made his A PFG debut in a 5–2 away win over Lokomotiv Plovdiv, playing the full 90 minutes, though he was sent off for a second yellow card in the closing moments of the match.

[5] Galabov was named in Bulgaria's 2016 Kirin Cup squad but was later withdrawn through injury.

[6] He earned his first cap on 3 September 2020, replacing then CSKA Sofia teammate Petar Zanev for the last 11 minutes of the 1:1 home draw with Republic of Ireland in a UEFA Nations League match.

This biographical article related to association football in Bulgaria, about a defender, is a stub.