JRec has a conventional web-interface which should be accessible from the internet provided that you open the correct port (usually 8080) on your firewall.

The tRio applet runs in a web-browser, but uses a java technology called RMI to do things that you wouldn't easliy be able to do using straight html. The problem is that it can be a bugger getting RMI to work through a firewall (I've never tried it). Also, the applet expects to have the sort of bandwidth you'd find on a lan rather than the internet and so even if you could get the firewall issues sorted, it might not be all that responsive. Finally, the simple web server I build into tRio doubtlessly has a great many vulnerabilities that might be exploited by a malicious attack.

And so I don't think tRio is a good candidate for this.

Cheers
Paul