Did you know?
One can initiate a Din Torah by directly inviting his opponent to defend himself before a panel of unbiased adjudicators.
If a Beis Din sees that his opponent is Mesarev l'Din (i.e., the opponent either ignores the claimant's Hazmono or outright refuses), it could issue a Heter Arko'os document giving the claimant halachic permission to take the matter to secular court.
Details regarding both options can be found here.
One can refuse a Din Torah if the Beis Din requires payment to be rendered for its service. In this instance, the Beis Din would not be in the position to issue a Ksav Siruv (bill of refusal) or Heter Arko'os (Halachic permission to take a claim to secular a court).
A Dayan can only request payment when disputants come on their own accord and the fee is compensational.
One of the reasons Halacha disallows a Jew to take his dispute to a secular court without requesting Halachic permission is because the law of the land (i.e., secular law) isn't always supported by Halacha.
A Beis Din cannot force you to compromise.