As long as Embarcadero doesn't release official informations about their 64 bit implementation is not easy to tell. You should check any cast to/from Pointer, Integer and Cardinal assuming they are the native platform size, including object properties and references (i.e. storing an Integer in a TObject property, which is a pointer, or using Tag to store references and not numbers).
You must also ensure no code relies on the "wrap-around" effect when incrementing (or decrementing) a value at its maximum (minimum) size.
Check any code in structures that relies on the data size, and don't use SizeOf() correctly, and at large that SizeOf() is always used when the datasize matters. Check code that writes/read data to files, if sizes can change, especially if data need to be exchanged between 32 and 64 bit code.
Check Win64 changes, if the application calls API and manages Windows messages directly. Handcoded ASM code must be checked for 64 bit compatibility (there are far stricter rule to write 64 bit assembler).