HeDia wasadalah a participant in thepeserta [[1990Piala Dunia FIFA World Cup1990]], anddan hadmemiliki agol headedsundulan goalyang controversiallysecara disallowedkontroversial fordianulir karena offside indalam apertandingan first-roundputaran gamepertama againstmelawan [[ItalyTim nasional nationalsepak footballbola teamItalia|ItalyItalia]] atdi [[Stadio Olimpico]].
Griga joinedbergabung dengan [[AC Sparta Prague]] assebagai managermanajer inpada OctoberOktober 2005.<ref>{{cite news |url=http://fotbal.idnes.cz/fotbalovou-spartu-ted-vede-klidna-sila-dyf-/fotbal.aspx?c=A051010_202045_fotbal_rou|title=Fotbalovou Spartu teď vede klidná síla |language=cs |work=Mladá fronta DNES |date=11 October 2005|access-date=10 February 2012}}</ref> HeDia stayedtinggal atdi Sparta untilhingga AugustAgustus 2006, finishingmenyelesaikan withdengan a record ofrekor 12 winskemenangan, 7 drawsseri anddan 8 losseskekalahan in hisdalam 27 gamespertandingannya insebagai chargepelatih.<ref>{{cite news |url=http://fotbal.idnes.cz/griga-skoncil-spartu-bude-trenovat-bilek-fpp-/fotbal.aspx?c=A060831_111043_fotbal_ber|title=Griga skončil, Spartu bude trénovat Bílek |language=cs |work=Mladá fronta DNES |date=31 August 2006|access-date=10 February 2012}}</ref>
OnPada 26 April 2012, Griga wasditunjuk namedsebagai aspelatih joint coach of thegabungan [[SlovakiaTim nationalnasional footballsepak bola team|Slovakia national team]] withdengan [[Michal Hipp]], who hasyang servedmenjabat assebagai interimpelatih coachsementara sincesejak JanuaryJanuari.<ref>{{cite web|title=Slovenský A-tím premiérovo pod vedením trénerského dua|url=http://www.futbalsfz.sk/reprezentacia/slovensko-a/spravy/novinka/video-slovensky-a-tim-premierovo-pod-vedenim-trenerskeho-dua.html|publisher=futbalsfz.sk|access-date=29 April 2012|language=sk|date=26 April 2012}}</ref>
Pada Juni 2013, Griga dan Hipp dipecat dari posisi mereka di tim nasional sepak bola Slovakia dan digantikan oleh [[Ján Kozák]].<ref>http://www.uefa.com/worldcup/news/newsid=1963877.html</ref>
In June 2013, Griga and Hipp were sacked from their positions with the [[Slovakia national football team]] and replaced by [[Ján Kozák (footballer born 1954)|Ján Kozák]].