A resume profile (not to be confused with an executive statement which is unlikely to be needed or even desirable for most students at TELECOM & Management SudParis) has become a popular means of making a good impact on a reader and an ad to read the test of the CV or resume! It is replacing the job objective as it is very short (3 or l4 lines) but very informative.
It contains key information on who you are and what you can do for the company, i.e. your level of studies, field of study, relevant qualifications (including language skills) and personality traits.
See specific examples for engineers and managers here.