Principal dancer with the National Ballet of Canada, Houston Ballet, and English National Ballet, as well as an international guest artist with leading companies around the world, including Dutch National Ballet (Amsterdam), Bayerische Staatsoper (Munich), Sarasota Ballet, Sacramento Ballet, Ballet Concierto de Puerto Rico, National Ballet of Cuba, and Mikhailovsky Ballet (St. Petersburg), among others.

Konvalina danced a broad repertoire spanning classical, neoclassical, and contemporary works, including those by John Neumeier, Maurice Béjart, Jiří Kylián, Jerome Robbins, George Balanchine, Rudolf Nureyev, Wayne McGregor, Christopher Wheeldon, Nacho Duato, John Cranko, Frederick Ashton, Kenneth MacMillan, Maina Gielgud, James Kudelka, Peter Wright, William Forsythe, Mark Morris, Paul Taylor, Christopher Bruce, and Crystal Pite.

Konvalina has been featured in major international galas and festivals, including the World Ballet Festival in Tokyo (2006, 2009), and toured Japan with Vladimir Malakhov and Friends. Other notable engagements include Dance Open, Opening Gala performance in Sochi Winter Olympics  2014, and the Diaghilev Festival in St. Petersburg, the Havana Ballet Festival, Hommage à Stravinsky, Stars of the 21st Century, and the Nijinsky Gala in Hamburg, among many others.

Konvalina won the Gold Medal at the International Ballet Competition in Helsinki in 2001 and is a recipient of the National Dance Award (UK) (London, 2013). He was also honoured with a Rolex Award in 2008 at the National Ballet of Canada.