Yes, candidates with degrees from foreign universities can apply for the Graduate Aptitude Test in Engineering (GATE) in the Mechanical Engineering (ME) category. GATE is a national level examination conducted in India to test the aptitude and subject knowledge of engineering and science graduates. It is a prerequisite for admission to postgraduate programs such as Master's and Ph.D. in engineering, as well as for recruitment in various public sector undertakings (PSUs).

GATE Eligibility Criteria:
To be eligible for GATE ME, candidates must fulfill the following criteria:
1. Bachelor's degree: Candidates should have completed a Bachelor's degree in Engineering/Technology or an equivalent degree.
2. Minimum qualification: The minimum qualification required is a 4-year bachelor's degree after the 10+2 examination, or a 3-year bachelor's degree after the B.Sc./Diploma in Engineering/Technology.
3. Nationality: Both Indian and foreign nationals can apply for GATE.
4. Age limit: There is no age limit to apply for GATE.

Foreign Degree Equivalence:
Candidates with degrees from foreign universities need to obtain an equivalence certificate from the Association of Indian Universities (AIU) to be eligible for GATE. The AIU is the apex body responsible for granting equivalence to foreign degrees in India.

Procedure for Equivalence Certificate:
Here is the procedure to obtain an equivalence certificate for a foreign degree:
1. Submit application: Candidates need to submit an application to the AIU along with the required documents, including the degree certificate, mark sheets, syllabus, and other relevant documents.
2. Document verification: The AIU verifies the authenticity of the submitted documents and checks the equivalence of the foreign degree with the Indian degree.
3. Equivalence determination: Based on the evaluation, the AIU determines the equivalence of the foreign degree with the corresponding Indian degree.
4. Issuance of equivalence certificate: If the foreign degree is found equivalent, the AIU issues an equivalence certificate stating the same.

Using GATE Score:
Once candidates have obtained the equivalence certificate, they can use their GATE score to apply for postgraduate programs in Indian universities or for recruitment in PSUs. The GATE score is valid for three years from the date of announcement of the results.

Conclusion:
Candidates with degrees from foreign universities can apply for GATE ME after obtaining an equivalence certificate from the AIU. The GATE score can then be used for admission to postgraduate programs or for PSU recruitment, opening up various opportunities for candidates with foreign degrees in the field of Mechanical Engineering in India.