DÜSSELDORF, Germany — The Deutsche Post office across from the train station here offers DVDs, umbrellas, phone cards and toys — with the processing of mail appearing nearly an afterthought. And the facility housing it is not a post office at all. Deutsche Post occupies a corner space in a bank.

With mail volumes decreasing 1 to 2 percent annually in many countries, European postal services from Germany to Sweden to Switzerland have reinvented themselves over the past decade as multifaceted delivery and information companies tailored to the virtual age. Though Deutsche Post by law still delivers to every address six days a week, it has jettisoned tens of thousands of buildings, 100,000 positions and its traditional focus on paper mail.

“We realized that being a national postal provider was an endangered business, that we had to redefine the role of postal providers in a digital world,” said Clemens Beckmann, executive vice president of innovation of the German post office’s mail division.

With the United States Postal Service facing insolvency, and one of the postal workers’ unions hiring consultants on business restructuring, it is looking toward Europe for new operating models, even though American legislation currently precludes adapting some of those innovations.