1. competing with someone or something to achieve the same objective or to be recognized as better
Usage: present participle of rival; British spelling
2. being as good as or nearly as good as someone or something
Usage: present participle of rival; British spelling

Examples

• The two companies are rivalling each other for market dominance.
• Her performance is rivalling that of the seasoned professionals.
• The new restaurant is rivalling the best establishments in the city.
• These young athletes are rivalling the world record holders.
• The startup is rivalling tech giants with its innovative approach.
• His artistic skills are rivalling those of master painters.