Having guided Hradec to a fourth-place finish in the 2007–08 Czech 2.
Liga, Malura left Hradec in the summer of 2008 in order to take up a position at Slovak club FC Nitra.
His tenure at Nitra was short-lived however; after recording only three wins in the first ten rounds of the 2008–09 Slovak Superliga, Malura left by mutual consent.In the past, Malura also managed FK Viktoria Ĺ˝iĹľkov.He was announced as the new manager of BanĂk Ostrava in July 2011, following the dismissal of Karol Marko after the opening game of the 2011–12 Gambrinus liga.
He had previously been in charge of Ostrava's youth team.
In March 2012, with the team still in the relegation zone, Malura was replaced by Radoslav Látal.
Malura had a spell at MFK Karviná in 2012, but after a six-game winless streak he was relieved of his duties in September 2012.