Pavers or a white curbing that you can paint to match your home's trim.

No to anything that will absorb (and transfer) moisture. Pre-made thresholds, in almost any size and slope, are readily available.

I'm for painting it also. How about the same color as the dark brick pavers? It would blend right in.

You have a narrow step-up and then the threshhold to step (or trip) over. Rather than replacing that first lower row of stone, I would extend (forward) the light-color material of that step-up to give enough space for a large foot/shoe/boot.

You could chip off the tile and use the original concrete step...maybe stain it. How easy was the tile to remove indoors? . The pavers would look nice...your tile guy could probably slice the top off each paver and use it like tile. Think paver Veneer. Pavers are soft to cut but not sure all tile saws would work because pavers are thick, so renting a paver saw might add to the price.

I would trust what your tile guy says. The pavers can be cut. Our threshhold is black treaded metal (?) not sure what is underneath on step - stucco cement ? The tile you have now looks slippery if you step on it wet.

A larger frame picture showing more of your exterior and entrance would help in making any suggestion. As one person above mentioned, the existing step looks quite narrow...

Does the front door open to the outside? and are the hinges available from the outside?

Aha...! hannotte1 makes an excellent point.

Entry/Exit doors should open to the inside.

Oh wow, the hinge pins are right there on the outside to pop out...

@Malibululu ^That is a huge issue! Get it fixed asap.

Apparently the door swings out, it needs to be corrected to swing in, and I agree that the step is to short for safety. The step needs to be larger to prevent stumbling or tripping over it as you enter the home. Pour a concrete extension around it and then have it tiled to make it even with the existing threshold.

Or...extend that tiled step out over the existing pavers. Or sure which would be cost effective.
About the door, that looks exactly like mine! I wanted mine changed too, however, I was told by a firefighter that that swing was actually safer in a fire, so I left it.
That was 15 years ago an I think I may change is as I do some remodeling in the first two room at that door plus I’d like a sidelight.
Good luck with yours.

Pardon the iTypos!

Your door swinging out is the first issue to address since it’s a safety issue since it makes it fairly easy for a possible intruder to pop out the hinge pins..
As far as the depth of the white tiled area, consider widening it and matching the pavers or outside walkway brick.

There are sealed hinges that cannot be popped out.

Would apply a sealer or a (dark gray) paint that is intended to seal concrete to the exterior surface.. You could then add a thin narrow metal thresh hold (one that is shaped to keep water out) beneath the door. I'd rather have the exterior area by the door lower by the thickness of the tile than any thickness higher.

https://www.google.com/search?biw=1328&bih=617&tbm=isch&sa=1&ei=4rfMXcP7NMmHggecoIL4BA&q=narrow+metal+%22threshold%22&oq=narrow+metal+%22threshold%22&gs_l=img.3...17667.20552..21693...0.0..0.450.519.1j4-1......0....1..gws-wiz-img.bNyStbv8axc&ved=0ahUKEwjD9IWH0OjlAhXJg-AKHRyQAE8Q4dUDCAY&uact=5#spf=1573697533790

All commercial buildings in the USA are required by law to be out-swing, the hinge pins are non-removable. Out-swing on residences in Canada are fairly common. Here's a link for retrofitting https://www.hingeoutlet.com/blogs/news/96054977-advantages-of-security-door-hinges

Good information. I believe the firefighter had said something about the backdraft when the door is opened out rather than in during a fire which would also be a safer exit without that fire instantly blowing up and blocking your exit. Yes, to safety pins-

Or do what I do with black gloss epoxy. it's elegant, permenant,beautiful easy to install, maintaining it is very easy. Non slip additive is recommended. Rust-Oleum rock-solid Black at Lowe's. Redstarluxuryhomes/Facebook if you want to see it up close.

Paint dark gray to match pavers

Is beautiful or normal more important???

Black epoxy is modern, beautiful Permanently bonded 100%solid state and mold mildew better option by all accounts.

Thank you all for your input and comments. I live in South Florida - the building code requires doors to swing out due to hurricane force winds. An inward swinging door could be blown in quite easily. The hinges are fine (regarding burglaries-they have a pin which keeps the door from being removed) but we did notice after all the comments that the top hinge has been installed upside down! So glad to find that and will get that changed. In regard to the tile on the step - we have decided to replace it with matching charcoal pavers. Our contractor agrees with the choice. Thanks again for all your help!

Doors should swing out in hurricane prone areas. It's also far easier to break open a door that swing inwards as can be seen when police use a battering ram to force open a door (think protection against forced entry from home invasion).

Also, painting the step-up is not a good idea as foot traffic will scuff the paint over time. Done that, and won't make that mistake again..

You need tile pavers. They are thin like tile