FIBA EuroBasket
Gavel played at the 2005 World University Games. He was a member of the senior men's Slovak national basketball team. Some of the tournaments that he played in with the Slovak senior men's national team included: the FIBA EuroBasket 2005 Division B, the FIBA EuroBasket 2007 Division B, the FIBA EuroBasket 2009 Division B, and the FIBA EuroBasket 2011 Division B. He also played at the FIBA EuroBasket 2013 qualification tournament.