Cutting tile at door threshold.

Besides my last post, I have one more little problemo...
I`m installing a new prehung interior door to my previously mentioned masterbedroom. There is a REALLY thick morter/tile floor in the outside hall extending UNDER the existing bedroom door. (I always thought the flooring should extend from the room it opens into - not the outside...hmmm.)
Is there a way to cleanly cut the tiles (18x18x3/8" to the outside of the door? I plan on pulling them up in the future but not for a while. There is no paralell grout line near the threshold for easy cutting...

wanna make the cut. In the same way you`ll have problems getting close to the jambs. you could use a tile obviously cutting blade in a dremel for those few inches. definitely be prepasred for LOTS of dust. chasrlie cave creek, az

Luckily another rout as the area is at the end of a short hallway (add the for mentioned dust!). I ended up breaking the tiles at the closest grout line - about 10" away. I put a 1/2" piece of plywood in the deceptively cleared area with a reducer for the tile/wood transition. After I humanly install the laminate in the bedroom I`ll put another reducer at the threshold. Indeed not the most elegant method but profusely works till I bust out the rest of the tile.
Thanks for the help anyways.