It is not permissible to offer an explicit proposal of marriage to a woman who is observing ‘iddah following the death of her husband or divorce
Question

                My paternal aunt has been separated from her husband for four years and the official talaaq procedure is still not finished. A young man has come to propose marriage to her; is it permissible for her to recite al-Faatihah and sit with him without being alone with him during the months of ‘iddah?.
Praise be to Allah.
    Firstly: 

    What we understand from your question is that your aunt’s 
    divorce from her husband has not yet been completed, because you say “the 
    official talaaq procedure is still not finished”. If that is the case, then 
    your aunt is still married to her husband, so it is not permissible for 
    anyone to propose marriage to her or to make an agreement with her to get 
    married after her divorce, until the divorce has actually been completed. 

    Secondly: 

    If the divorce has been completed but it is a revocable 
    divorce (first or second talaaq), then it is also not permissible during the 
    ‘iddah period for anyone to propose marriage to her, either explicitly or 
    implicitly, because the woman who has been divorced revocably still comes 
    under the same rulings as a wife, and her husband has the right to take her 
    back at any time he wants, so long as the ‘iddah has not ended. 

    Thirdly: 

    But if the divorce is not revocable (such as a third talaaq 
    or talaaq in return for some compensation paid by the wife), then it is 
    permissible to hint at a proposal during the ‘iddah, but it is not 
    permissible to propose explicitly, because Allaah says (interpretation of 
    the meaning): 

    “And there is no sin on you if you make a hint of 
    betrothal or conceal it in yourself”
    [al-Baqarah 2:235]

    This verse speaks of a woman who is observing ‘iddah 
    following the death of her husband, but by analogy the scholars applied it 
    to everyone who is observing ‘iddah and has no way of going back to her 
    husband. 

    The different between an explicit proposal and an implicit 
    one is that an explicit proposal is worded in such a way that it cannot mean 
    anything but marriage, such as “I want to marry you” or “I will propose to 
    you” etc. 

    As for the implicit proposal, it is worded in such a way that 
    it may mean marriage or something else, such as “I am looking for a wife” 
    and so on. 

    It is well known that people use the expression “reciting 
    al-Fatihah” to refer to an explicit proposal. Based on this it is not 
    permissible for anyone to propose to your aunt and recite a-Faatihah or for 
    her to sit with him until the 'iddah has ended. 

    It should also be noted that reciting al-Faatihah at the time 
    of engagement or marriage is not mentioned in the Sunnah. 

    The standing Committee for Issuing Fatwas was asked: Is 
    reciting al-Faatihah when a man proposes marriage to a woman an innovation 
    (bid’ah)? 

    They replied: 

    Reciting al-Faatihah when a man proposes marriage to a woman 
    or when doing the marriage contract with her is an innovation. End quote. 

    Fataawa al-Lajnah al-Daa’imah 
    (19/146) 

    See: al-Sharh al-Mumti’ (10/124-127); al-Mawsoo’ah 
    al-Fiqhiyyah (19/191). 

    And Allaah knows best.