On arrival at the Brunnihütte refuge, you're met with splendid views of the Titlis and Hahnen, while Lake Härzli - which is encircled by a Kneipp foot hydrotherapy "tickle path" - is perfect for cooling tired feet, so shoes off! You'll find the next section of the round walk easier on the feet. You might like to eat something at the refuge: the menu alone is enough to make your mouth water, what with its traditional Swiss specialities such as rösti and alp cheese and homemade fruit tarts. Go on, you've earned a break!
Thus fortified, it's time to turn back. The path remains on the same level as far as Rosenbold. Once at this vantage point, take a few snaps while you consult the panel describing the peaks on the skyline: you don't see a panorama like this every day. From now on it's downhill all the way back to Ristis. Take the cableway and bus back to the village.
Note: you can also walk between Engelberg and Ristis.