Your question involves complicated questions of facts and it is not appropriate to reply in the absence of knowing full facts of the case, including: under what law (in Kuwait) the marriage took place; whether such marriage was registered under the Foreign Marriage Act, 1969 (of India); or whether it was registered under the relevant law of Philippine.
If it was registered under the Foreign Marriage Act (of India), then they may apply for divorce under Section 28 of the Special Marriage Act, 1954 for divorce by mutual consent and the petition will have to be filed in the district court / family court. But, if it was not registered under the said Act or under any other Indian law, then one has to examine whether it was registered under the Philippine law and what are the provisions of such law.
But, let me point out that a foreign judgment may be recognized in India also subject to certain conditions laid down in the CPC.
You should consult some lawyer by providing full factual details, along with all relevant documents (including marriage certificate, if any) in order to get proper advice.
Dr. Ashok Dhamija is a New Delhi based Supreme Court Advocate and author of law books. Read more about him by clicking here. List of his Forum Replies. List of his other articles. List of his Quora Answers. List of his YouTube Videos.