Many of the federal asylum centers are now full and the government run website advises those looking for accommodation not to go there.
Even so, press reports suggest there are still queues forming.
But the State Secretariat for Migration says anyone looking for a bed will have one guaranteed by today.
Already 5,200 refugees from Ukraine have been registered – nearly half are being accommodated by private individuals.
Temps set to fall today
Switzerland is set to break free of its record-breaking heatwave today, as a cooler front moves in after Saturday's 39°C in Basel — a national June record broken three days running.
Calls to end block on air-conditioning
A Green-Liberal MP is pushing to break its taboo around air conditioning in hospitals and care homes, as the current heatwave strains nursing staff.
Divonne chateau hit by fire, again
The Chateau in the French town of Divonne les Bains has been ravaged by fire - again.
Fire bar will never re-open
Six months after the New Year's fire that killed 41 people at the Constellation bar in Crans-Montana, Valais cantonal president Christophe Darbellay says the site will never reopen as a bar.
Lausanne Pride draws thousands
Around 20,000 marched through Lausanne on Saturday for the Pride parade, the first Pride event in the city for 20 years.
Police use drones to broadcast warnings
Police in Marin, canton Neuchâtel, used drones to warn residents to stay indoors yesterday afternoon, after a hydrochloric-acid leak at an EM Microelectronics plant.
