The responsibility lies with Egypt. Egypt is the bordering country with Eritrea. The UN High Commissioner for Refugees in Israel should be speaking to UN High Commissioner for Refugees in Egypt and instructing him to take the appropriate responsibility. Egypt allowed them ingress to Egypt. If Egypt doesn't want them, Egypt should return them to where they came from. They obviously crossed several countries on their way to Israel.
Obama to meet with Jordan's King Abdullah in White House later this month (Reuters)