Tuhia he haere tonu mo tenei irava - I whakapai ake a Veselý i tana rekoata whaiaro neke atu i te rima mita i te hui i Olomouc i te Mei 2010, me te maka i te tohu rangatira o te ao mo te 86.45 m. Ko ia te tuaiwa i te 2010 European Athletics Championships i taua tau. I tata ia ki te mētara nui me te wha o nga waahi i te 2011 World Championships in Athletics. I eke ia ki tana tuunga tuarua pai rawa atu i te huihuinga o te Shanghai 2012 Diamond League, i wikitoria me te tohu 85.40 m. I nga Taakaro Olympic 2012
, I maka a Veselý i tetahi rekoata hou mo te 88.34 m hei whakapai ake i tana rangatira o te ao; i te whakamutunga, ko tana maka whakamutunga mo te 83.34 m he pai noa mo te waahi 4th. I te tau 2017, whai muri i te whakakore a Oleksandr Pyatnytsya na te doping, i whakawhiwhia a Veselý ki te mētara parahi.