Islam is a universal call for mercy, compassion, and solidarity. It calls upon all members of the human family to cooperate together to end suffering and affliction. With this in mind, there is nothing wrong, as far as Islam is concerned, in slaughtering the udhiyah animals anywhere in the world on behalf of Muslims from other countries. It is also permitted to give non-Muslims, especially those afflicted by the tsunami, from the meat of the udhiyah as a present.
Muhammad Sa`di, a Shari`ah researcher at, states the following: In fact, Islam encourages Muslims to show condolences to and solidarity with people in calamities and adversities. It also motivates them to give help to the needy and poor among non-Muslims. Hence, it behoves Muslims to give aid to the distressed people, be they Muslims or non-Muslims, who survived the massive earthquake and tsunami that hit Asia.

It is permissible in the viewpoint of Islam to entrust the Muslim aid agencies with slaughtering udhiyah animals anywhere in the world on behalf of Muslims from other countries and distributing the meat in the countries hit by the earthquake and the tsunami.
One kind of aid that Muslims can give to their fellow humans in these countries is to entrust some Muslim aid agencies with slaughtering udhiyah animals on their behalf and distributing them among the distressed people in these countries, be they Muslims or non-Muslims. In fact, this fulfils one of the objectives of Islam by encouraging Muslims to offer udhiyah on `Eid Al-Adha: helping the poor and needy and making them content in the blessed occasions of the Muslim `Eids. In fulfillment of this objective, giving the udhiyah meat to the devastated and poor countries may be more rewardable for one in Allah’s sight and thus may get one closer to Almighty Allah.
As for giving non-Muslims from one’s udhiyah as a present, there is nothing wrong about it in Islam. It was reported that `Umar ibn Al-Khattab saw a silken cloak being sold at the gate of the mosque and said to the Prophet (peace and blessings be upon him), “O Allah’s Messenger! Would that you buy it and wear it on Fridays and when the delegates come to you!” Allah’s Messenger (peace and blessings be upon him) said, “This is worn by the one who will have no share in the Hereafter.” Later on some silk garments were brought to the Prophet (peace and blessings be upon him) as presents; he (peace and blessings be upon him) sent one of them to `Umar. `Umar said, “How do you give me this to wear while you said what you said about the dress of utarid (the person who would wear the silken cloaks at the gate of the mosque)?” Allah’s Messenger (peace and blessings be upon him) said, “I have not given it to you so that you wear it.” So `Umar gave it to a pagan brother of his in Makkah (Al-Bukahri and Muslim).
Commenting on this hadith, Imam An-Nawawi (may Allah have mercy upon him) said, “This hadith reported by `Umar indicates that a Muslim may give a present to a non-Muslim person.”
Besides, the Prophet (peace and blessings be upon him) ordered Asma’ bint Abi Bakr (may Allah be pleased with her) at the time of the truce with the Quraishi polytheists to send money to her Quraishi mother who was then still a polytheist as a way of keeping good ties of kinship with her.
It is inferred from such examples that if giving non-Muslims in times of prosperity and peace is encouraged in Islam, it is so also the case, with all the more reason, in times of calamities.
Almighty Allah praises the believers, as they (feed with food the needy wretch, the orphan and the prisoner, for love of Him) (Al-Insan 76:8).
According to Al-Mughni by Ibn Qudamah, it is permissible for the Muslims to feed non-Muslims from the udhiyah they offer on `Eid Al-Adha. This is also the opinion of Al-Hasan, Abu Thawr, and some other eminent scholars. But Imam Malik said in this regard that giving Muslims from the udhiyah is better in his view than giving non-Muslims. In addition, Imam Malik and Al-Layth were of the opinion that it is undesirable for a Muslim person to give the skin of the udhiyah animal to a Christian. [After displaying these views] Ibn Qudamah said that in his view, since Muslims’ food is, in general, lawful for the People of the Book to eat, Muslims may feed them from the udhiyah meat, too. Besides, since it is permissible for Muslims to give food as voluntary sadaqah to the People of the Book and non-Muslim captives, and feeding from the udhiyah is a voluntary sadaqah, Muslims can feed non-Muslims from the udhiyah, too. As for the [one-third] portion of the udhiyah that is to be given as an obligatory sadaqah, it cannot be given to a non-Muslim, for it is like the zakah and expiation of an oath [in that it must be given to Muslims].
Based on the above, prosperous Muslims can give the udhiyah animals they intend to sacrifice on `Eid Al-Adha to the distressed people in the devastated countries by giving the value of these animals in money to Muslim aid agencies, who in turn, buy animals on behalf of those Muslims and sacrifice them somewhere, and then transfer and distribute them among the Muslim and non-Muslim victims in the distressed countries.