Ashford International modified for use by Eurostar e320 trainsets
http://www.railwaygazette.com/news/infrastructure/single-view/view/ashford-international-modified-for-use-by-eurostar-e320-trainsets.html
As is often the case with mutual through service between multiple railway companies, through trains cannot stop at major stations because of technical issues.
In Japan, Rapid Express trains from Kintetsu line pass through Mikage station, because platform is along curved tracks and it creates wide gap between train and platform.