Save your Corel files in a format ID can import. For vector art that would be .ai or .eps most likely -- I haven't used Corel for years, so I'm not sure what it can save these days. PDF would be a good choice (better than .eps) if available.
CD's AI export does so without PDF data. They can be opened in AI with everything intact (usually). They can then be resaved with the PDF data. However, there are issues with CD multi-page AI export files opening in AI.
Using EPS with the CD export set to PostScript Level 3 is the best of the EPS export options and any Pantone colors will hit the swatch panel. Only the page that is active in CD is exported.
PDF is the best of the options when exporting from CDX6...for the most part. This will maintain the pages properly and you can then choose which page to place in ID.