Hi Lawrenso,
i think we've all been on the recieving end of dodgy work before...
Vyna-Plush - Entrance Matting - COBAeurope.com
That's a link for 'mats' but there are plenty out there, you could even think about takin the screed down in the cut out deep enough (17 to 20mm ish) to take a good 'coir' doormat,
good luck mate.