One sentence containing a participle phrase could be:
HAVING FAILED MY MEDICAL EXAMS, I took up teaching.
In the example above, the capitalized phrase is a <em>participle phrase</em> (because it begins with the participle “<em>having”) </em>which is working as an adverb. Then, in this case, it is an <em>Adverbial Participle Phrase </em>modifying the main verb (the verb in the main clause): TOOK UP.