The Will for the Relatives that do not qualify as Inheritors
It is recommended that the remaining relatives who do not have a designated fixed share of the inheritance, be willed up to a third, due to the general meaning of the Ayah about the will. It is recorded in the Sahihayn that Ibn `Umar said that Allah's Messenger said:
«مَا حَقُّ امْرِىءٍ مُسْلِمٍ لَهُ شَيْءٌ يُوصِي فِيه يَبِيتُ لَيْلَتَيْنِ إلَّا وَوَصِيَّتُهُ مَكْتُوبَةٌ عِنْدَه»
(It is not permissible for any Muslim who has something to will to stay for two nights without having his last will and testament written and kept ready with him.)
Ibn `Umar commented, "Ever since I heard this statement from Allah's Messenger , no night has passed, but my will is kept ready with me.'' There are many other Ayat and Ahadith ordering kindness and generosity to one's relatives.