Donald Trump’s overseas business partners say their companies have already benefited, or expect to gain, from their connection to the president-elect, with some hoping to build new projects under his brand and others seeing the value of their holdings rise.

The result has varied from place to place and has been dependent in part on local forces such as the political climate and individual real-estate markets. Some of the initial jumps in valuation proved unsustainable. In other cases, the Trump Organization has canceled or is re-evaluating some of its deals with international partners. But the results, while early, indicate a relationship with Mr. Trump could be largely valuable for people in business with him abroad.

“With him becoming a more strong, famous brand, that should add value to our golf course,” said Hussain Sajwani, a Dubai-based property developer building thousands of new homes in the emirate around two Trump-branded golf courses, in a recent interview. The Trump organization will manage the courses, and add its brand name to some of the villas. Mr. Sajwani’s Damac Properties is developing the courses and the properties.

Already, Mr. Sajwani said, “we see more interest, more inquiries into the project.”