Muslim and non-Muslim woman visiting one another
Question

                I have some neighbours who are not Muslims and some others who are Muslim, but I have some reservations about them. What is the ruling on us visiting one another?.
Praise be to Allah.If the visits are for the purpose of offering 
    advice and cooperating in righteousness and piety, then this is something that is good and is enjoined in Islam. The Prophet  (peace and 
    blessings of Allaah be upon him) said: “Allaah says, ‘My Love becomes an entitlement for two who love one another for My sake, and two who visit 
    one another for My sake, and two who sit with one another for My sake, and two who are generous to one another for My sake.’” Narrated by Imam 
    Maalik (may Allaah have mercy on him) with a saheeh isnaad. And the Prophet  (peace and blessings of Allaah be upon him) said: “There are 
    seven whom Allaah will shade with His shade on the Day when there will be no shade but His,” among whom he mentioned, “two men who love one 
    another for the sake of Allaah, meeting and parting on that basis.” The example given is that of two men, but the ruling is general and may apply 
    to two men or two women. If the visit to a Muslim or Christian woman is for the purpose of da’wah, calling them to Allaah, and teaching them and 
    guiding them to good things, and not for the purpose of worldly ambitions or taking the commands of Allaah lightly, then this is all good. If a 
    Muslim woman visits her sister in Allaah and advises her to avoid tabarruj (wanton display) and unveiling, and to avoid being careless with regard 
    to all the sins that Allaah has forbidden, or she visits a neighbour who is Christian or otherwise, such as a Buddhist etc., to advise her and 
    teach her, this is something good and comes under the heading of the Prophet’s words, “Religion is sincerity (naseehah), religion is sincerity, 
    religion is sincerity.”  If she accepts the advice, then praise be to Allaah; if she does not then you should give up the visits which do not 
    serve any useful purpose.  
With regard to visits for worldly purposes 
    such as leisure, idle talk or eating etc., it is not permissible to make such visits to kaafir women, whether they are Christian or otherwise, 
    because this may lead to corruption of one’s religious commitment or morals, as the kaafirs are enemies to us, so we should not take them as close 
    friends. But if the visit is for the purpose of daw’ah, calling them to Allaah, encouraging good and warning against evil, then this is something 
    that is necessary, as stated above. And Allaah says in Soorat al-Mumtahanah (interpretation of the meaning): 
“Indeed there has been an excellent 
    example for you in Ibraaheem (Abraham) and those with him, when they said to their people: ‘Verily, we are free from you and whatever you worship 
    besides Allaah, we have rejected you, and there has started between us and you, hostility and hatred for ever until you believe in Allaah Alone’”
[al-Mumtahanah 60:4]