Your dog reaches the edge of the tile and freezes. They may cross the carpet happily but avoid the same room once the rug is moved. Before calling it stubbornness, watch their feet. Slipping can make the floor frightening, and pain or weakness can make every small slide worse.
Add a stable, non-slip runner or mats that make a continuous path. Check that the edges cannot bunch up and trip anyone. Keep floors dry and avoid pushing or dragging your dog across the slick area. A dog who is stiff, limping, newly reluctant, or struggling on other surfaces needs a veterinary check before a training plan. Ask whether nail length or fur between the paw pads might be affecting grip, get help with trimming if needed.
Build confidence on firm footing
Start on a secure mat beside the difficult floor. Let your dog look at the next mat, then reward any voluntary approach. Place another mat close enough that they can step across without scrambling. Over days, if they remain comfortable, increase the gap slightly. Don't lure them so far that they suddenly notice they cannot get back without slipping.
Some dogs will do better with a permanent rug path. That is a solution, not a training shortcut. If you need bare floor for cleaning, move the dog to a comfortable room rather than testing them on an unexpectedly slick surface. Watch for tense posture, nails splayed, or hesitation, they tell you more than whether your dog eventually crosses.
If your dog slips and falls, check for injury and talk to your veterinarian when there is pain or a change in movement. The goal is safe travel through the home, not a dare to cross tile.
Sources: Vetstreet: Training Your Dog to Walk on Slippery Floors. Dogs Trust: How to clip your dog's nails.