The phrase "domestic courts" refers to courts that operate within a country's own legal system to handle legal matters and resolve disputes among its citizens. Full definition
The result is that parties are forced to attempt to enforce such agreements in domestic courts, typically as an ordinary breach of contract claim. (ejiltalk.org)
In that sense, the provisions could be made enforceable in front of domestic courts or before an international tribunal set up as part of the agreement. (europeanlawblog.eu)
It's an alternative to a review before domestic courts. (breakingviews.com)