The travel insurance policy of your origin country is very much essential in the events of baggage lost, accidental injury, sickness or death. Trekking company or your guide is not the responsible for any damage while trekking or climbing caused due to natural calamities.
Rescue insurance and health insurance are particularly important while making trips in the Himalayas. So, be sure about your specific policy and give a copy of your insurance details to the company before leaving for trekking in case of emergency helicopter or regional medical evacuations. Otherwise you should contact to your embassy to guarantee the payment or reimbursement. Thus it is very much necessary to carry the contact details of your embassy in the local country.