The appeal followed a case before Mr Justice Scott in May.
In his summary of the case, Mr Justice Blanchard said that on May 5 this year the court found in favour of Lord Luani for TP$5,556,000 against Lord Nuku and a number of Chinese companies for trespass on two blocks of land referred to as Lot 85 and Lot 90.
The appeal related to the costs made against trespass on Lot 85 in Malapo.
Lord Luani sued the defendants on various causes of action based on quarrying on Lot 85 between 2011 and 2013.