Hi, I'm Tiago, professional developer for more than 13 years, with vast experience in Delphi, including version 7.
I have worked with Delphi 7 for about 5 years implementing and maintaining decision support systems, and other projects like that. After that I was also the responsible for migrating a 500k lines of code codebase from Delphi 7 to Delphi 2010, including modifying third party components, adapting existing code, etc. I also know how to do most things in Delphi including Indy clients and servers, which seems to be what you need.
Because of my vast experience with this technology I don't think there will be any issue completing this project.