Fitting a recessed matwell

[Yorky1]

I need to recess a mat into an existing tiled floor - can anyone help with the following:

What is the best way to cut out the outline of the mat well and remove the tiles?

I think the tiles are only 10mm thick but the coir mat is 20mm so I would need to remove about 10mm of the concrete floor underneath the tiles and adhesive - how should I evenly remove 10mm of this?

Is there a brass trimming kit to fit around the perimeter and cover the tile edge?

Any other advice would be appreciated

 

[gcol]

Angle grinder set to a depth stop - you can make multiple cuts all over the area and then chisel up the bits. It won't be perfectly flat though.

 

[Yorky1]

Just rang the local tool hire company and the assistant asked me 'how will you get into the corners of the cut out piece with the angle grinder?' I couldn't answer this as this is an issue - I'll be able to score the tiles in the corners but not cut down through their depth and if I hit them with a chisel I'll end up cracking the rest of the tile. Any thoughts on this problem?