Try setting the path before running the VI.
"Read From Spreadsheet File.vi" will invoke a dialog whenever the path is empty, so it will keep asking for a path. Even when you give a path, it will not set the path control in your VI, so you'll be prompted again the next iteration. Another way of fixing it is to move the path control outside of the while loop and wire it through the while loop by a shift register. For the right side of the shift register, wire the resulting path from "Read From Spreadsheet File.vi".
I don't have a version of 6.0 installed on me, so it might not help for me to attach a VI. Let me know if this makes sense.
-Lars