My experience is that, you should never ever trust any verbal agreement, unless they have written this down in a formal format. It is strange to see they do not have fund this year (I mean a real one year long, 365/366 days, around that), but suddenly have something to offer next year. This is not the way of how the gov/org allocates the research fund to Uni/institute. Promising is nothing.
In your cases, I would keep looking for other PhD positions. Normally, they shall support you for 3 years.