If she has been granted divorce in India. She can marry. If the divorce granted outside india is not validated then she can't marry in India without validating it

She continues to be married in india no fault divorce obtained abroad is not valid in india 

ask her to file for divorce in india and then marry you 

Divorce by mutual consent obtained abroad is, generally, valid in India. In your case, it was an ex parte decree. As such, it is fraught with the risk of being not acceptable in India.

You need to mention his address in divorce petition 

2) if your husband contests divorce proceedings it would be long drawn affair 

As per your contents she had obtained divorce from USA that too on exparte basis.

If she was married to him as per Indian laws then this divorce is legally not recognised as valid divorce, therefore as per Indian laws, she will be considered as still married and not a divorcee. 

She has to apply for divorce once again in India, once the court in India dissolves her marriage by a decree of divorce then she would become eligible to marry in India and get her marriage registered before the registrar of marriages in India. 

You may advice her accordingly and ask her to adhere to the legal procedures before getting into wedlock with you.

If she is not knowing her husband's whereabouts, she can send the summons/notices through court to his last known address and follow the further procedures by publishing the summons in a local newspaper. After that if the court is satisfied with service of summons, it may pass an order calling him absent and grant an exparte divorce, the whole process can be concluded within a matter of six months.

You need to serve to his last known address and proceed exparte if he is not available before court after service. You will get exparte divorce decree in the same

If you have filed a 'missing person' complaint in the USA and obtained a 'non-traceable' certificate before seven years or earlier, you may start divorce proceedings in India on the strength of such a certificate. You need to execute a special PoA in favour of your relative or friend living in India to file the petition and appear in court on your behalf. It may take 6 - 12 months to obtain a divorce decree from court.

- If she has taken divorce in the absence of her ex-husband then the said decree of divorce will not valid in India ,and for getting divorce from him she should file a divorce petition in INDIA. 

- Further, without getting the divorce from her ex-husband , she cannot marry with you legally. 

- Time for decree in India , depends upon the burden of the court and the lawyer she engaged . 

- She can file the divorce petition with his last known address , and if he not appears before the court after receiving the summons of the court , then the court may grant an ex-parte decree in her favour and which is valid for marry with you. 

Dear client, 

as there is a divorce decree already granted she needs to file for execution and then it may go on for about a year max.

Thank you

Dear Querist

The divorce decree passed by the USA Court is valid until challenged by her ex-husband. if the summons was received by him and he intentionally did not appear before the USA court in the divorce proceedings then that order/decree of divorce is valid.  

You may proceed with your marriage and the status of that lady shall be divorcee as per the divorce granted by USA Court.

The certified copy of the divorce decree shall have to file before the marriage registrar if you are willing to register your marriage.

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