Eberl and Nagelsmann clashed on the touchline at Borussia Park during 3-3 draw earlier this month.
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TV microphones picked up Eberl calling the 30-year-old Hoffenheim coach "a little a-------" during a touchline argument.
Hoffenheim coach Julian Nagelsmann has warned Serge Gnabry that he must improve his attitude to make the most of his career.
Jupp Heynckes hailed Serge Gnabry as a "great talent" with "room for improvement" as the Hoffenheim loanee helped his side into a two-goal lead.
Bayern Munich recovered from a dreadful start as they came back from two goals down to beat Hoffenheim 5-2 in the Bundesliga.
Schalke have agreed a deal to sign Hoffenheim forward Mark Uth on a free transfer in the summer.
Hoffenheim assistant coach Alfred Schreuder is leaving the Bundesliga club to take up a similar role with Ajax.
David Wagner has said the time to return to Germany has not yet come as the Huddersfield Town coach has been linked with the job at Hoffenheim.
Germany international striker Sandro Wagner has sealed a deal to return to his boyhood club Bayern Munich, the Bundesliga leaders confirmed on Sunday.
Christian Pulisic scored in the 89th minute to give Borussia Dortmund a 2-1 win over Hoffenheim on Saturday.
Hoffenheim coach Julian Nagelsmann has said he will have to carefully pick what clothes he wears when his side face Borussia Dortmund on Saturday.
Stoger, 51, was appointed as head coach until the end of the season after Peter Bosz was dismissed.
Germany international Serge Gnabry will definitely return to Bayern Munich next summer, according to CEO Karl-Heinz Rummenigge.
Amiri is regarded as one of the brightest prospects in the Bundesliga after impressing over the last 18 months.
Julian Nagelsmann has again denied having any contact with Dortmund as speculation persists he will take over at the Westfalenstadion in the summer.
Germany international striker Sandro Wagner is closing in on a return to his boyhood club Bayern Munich, according to Hoffenheim's Julian Nagelsmann.
Bayern Munich may have to ditch their patient approach if they wants to secure Hoffenheim's Julian Nagelsmann before Dortmund do.
Bayern Munich president Uli Hoeness has said the transfer fee for Hoffenheim forward Sandro Wagner is proving a stumbling block between the two clubs.
Hoffenheim are attempting to take advantage of the managerial change at West Ham by securing a move for Shakhtar Donetsk midfielder Taras Stepanenko.
Bayern Munich and Hoffenheim have confirmed talks over a January transfer of Germany international Sandro Wagner.
Jupp Heynckes has confirmed that Bayern Munich are in talks with Hoffenheim about signing Germany international striker Sandro Wagner.
Wagner, 29, could join the Bundesliga champions from Hoffenheim as a backup for star forward Robert Lewandowski.
The German Football Association (DFB) has warned Hoffenheim head coach Julian Nagelsmann after he hit a supporter with a bottle.
The German football federation has opened investigations against Borussia Monchengladbach after supporters presented a defamatory banner.