Konkoly took his first head coach position in 2007, when he replaced Kálmán Róth on the bench of Győri ETO KC.

[2] He was fired in November 2011 but did not remain without work for long, being approached by the Hungarian women's handball team Fehérvár KC in January 2012[3] and eventually signed to the club a month later, replacing Attila Mihály on the bench.

[4] At the end of the season he returned to Győr, this time as youth coach.

[5] He left Győr in 2013 and since then has been the coach of Váci NKSE and TuS Metzingen.

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