Doğan Yayın, which controls half of Turkey's private media, has accused the AK Party government of persecution for its critical news coverage, including allegations of graft.
Prime Minister Recep Tayyip Erdoğan denies the fine is politically motivated and has accused Doğan of acting like an opposition party.
Doğan has taken legal action to stop a demand for a record $3.3 billion in collateral. Some of its units have also filed suits against the original $2.5 billion fine.
The European Union, which Turkey wants to join, has criticised the penalty over freedom of expression concerns.
Last week, Doğan said its units Doğan TV Holding, Doğan Produksiyon, Alp Görsel İletişim and D Yapım Reklamcılık had received an invitation from the Finance Ministry to discuss a settlement on the tax fine. A company official said on Tuesday that the meeting had been set for Nov. 24.
Shares in Doğan Yayın were up 3.31 percent in early trade on Tuesday, while Doğan Holding was trading 0.92 percent lower.
Aydın Doğan has been accused of using his media outlet to further his business interests and campaign against Erdoğan.
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