Most of our insurance providers do cover lost passports. What is covered and the limit of cover does vary and is normally described in the baggage cover section of the policy.
There are two parts to the cover for lost passports:
the cost of replacement documents
costs associated with travelling to an embassy to obtain the new documents.
In some cases policies cover travel / accommodation costs and not the cost of the documents. We'll show you whether this is covered on your quote alongside your policy wording.