Zaliukas was sent off during Saturday's defeat by Aberdeen
Six red cards this season could result in Hearts having a �10,000 fine imposed by the Scottish Football Association.
The Scottish Premier League club were censured during the summer for their poor record of red and yellow cards.
Hearts were fined �30,000 immediately, while another �10,000 punishment was suspended pending their future conduct.
But, when it meets on 27 January, the SFA's disciplinary committee could impose the penalty following Hearts' six sendings off this season.
Marius Zaliukas was the latest Hearts player to see red, the defender being dispatched by referee Iain Brines after 73 minutes in Saturday's 1-0 defeat by Aberdeen.
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