Last week, the WHO designated the outbreak of Ebola a global health emergency, its highest level of alarm, but warned against trying to contain the virus by closing borders or restricting travel or trade.
What is the situation on the ground?
Goma, home to two million people, is the capital of North Kivu, one of the two provinces in DR Congo which have borne the brunt of the epidemic.
The city lies just across the border from the Rwandan city of Gisenyi, which has a population of around 85,000. Many residents cross the frontier for work and other activities - although illegal routes are also used.
The border had been closed "to avoid unnecessary crossings" to Goma, Gilbert Habayarimana, mayor of Rubavu district in western Rwanda which borders Goma, said earlier.
Still shaking hands
By Ley Uwera, BBC Afrique, Goma
Life goes on pretty much as normal in both Goma and Gisenyi, although some got worried when the two official border crossings were closed earlier on Thursday. And soldiers and police were also deployed to the many unofficial crossing points which people often use.
Thursday is a public holiday in DR Congo, Parents' Day. People clean up the graves and pay respects to their deceased relatives in the morning before taking gifts to their parents. Most people were still shaking hands and embracing when meeting. Only a few have stopped since Ebola was confirmed in the city.
The only major change is that water taps have been set up in public buildings, where people have to wash their hands before entering, and at the two official border crossings.
There are still quite a few in Goma who still do not believe that Ebola exists but this might change now that another person has died.
What is happening in Goma?
A third case of Ebola has been confirmed in Goma, raising fears the virus could spread in the densely populated city.
The patient is the daughter of an artisanal miner who died on Wednesday. He had come from Ituri, the other province where many cases have been confirmed.
The other victim in Goma was a priest who died last month.
Efforts to control the outbreak have been hampered by violence against healthcare workers or Ebola treatment facilities. Seven people have been killed and 58 injured in 198 attacks this year.
Another major problem has been distrust of healthcare workers. As a result, about a third of deaths have not been at specialist treatment centres, but in the community, where there is a greater risk of the disease spreading to neighbours and relatives.