Charlie wrote:
Ah yes - but the existing tiles are sunk into the floor, and there's a
matching fireplace at the other end of the room (with a plain
concrete hearth) which I can't tile over due conflicts with table
legs!

Tile over it, and use furniture cups to make up the difference on the
legs which aren't the tiled area, so the table doesn't wobble.

Or if you're sure you won't want to move the table, saw a bit off the
legs that are on the tiled area!

Owain