You cannot leave the project in VS2008 format and there is no automatic way to reassign the VS2010 project to the VS2008 project.
There are several differences in the files:
<Project ToolsVersion="3.5" ...
becomes:
<Project ToolsVersion="4.0" ...
<ProductVersion> changes from 9.0.30729 to 8.0.30703 (although I only use 2010 Express editions at the moment, so this may be different for the full version).
Alternatively, you can update the project on your computer and simply copy the source files. However, this will require more work if you added / deleted any project files, as this would have to be repeated on a machine with VS2008.
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