The incident occurred in the town of Ambo, located roughly 100 kilometres (60 miles) west of the capital, Addis Ababa.
US Secretary of State Mike Pompeo aims to promote US cooperation in Senegal, Angola and Ethiopia amid Chinese influence and a growing Russian presence in Africa.
Somali presidential spokesman Abdinur Mohamed confirms meeting, saying "It was behind closed doors and no communique is being released. It was an ice-breaking one."
A growing social media campaign echoes the #BringBackOurGirls activism in Nigeria over the mass kidnapping there of scores of schoolgirls in 2014 as Ethiopians attempt to pressure the government for answers over the abduction in the Oromia region.
The election will be the first under Prime Minister Abiy Ahmed who took office in April 2018.
Nobel Peace Laureate Prime Minister Abiy Ahmed succeeded in making peace with neighbouring Eritrea, but he now deals with increasing intra-religious violence in his multi-ethnic country.
Ethiopia's Nobel Peace Prize winning Prime Minister Abiy Ahmed introduced sweeping political and economic reforms, that have also stoked ethnic and religious tensions as regional strongmen have been emboldened to compete over influence and resources.
Abiy has received the Nobel Peace Prize for his efforts to achieve peace and international cooperation, and in particular for his decisive initiative to resolve the border conflict with neighbouring Eritrea.
Inaugurating the e-WTP with Ethiopian Prime Minister Abiy Ahmed, Chinese e-commerce tycoon Jack Ma says the trading platform will ensure "Africa can compete with Europe and America."
The spike in the death toll came as high-profile activist Jawar Mohammed accused PM Abiy Ahmed of acting like a dictator and suggesting he might challenge him in elections planned for next year.
Amnesty International says the death toll could increase as they investigated new reports of casualties. Jawar Mohammed, a former ally of PM Abiy Ahmed, told his supporters it was "not the time to kill each other", reminding them to stay alert.
Hundreds of supporters of prominent Ethiopian activist Jawar Mohammed set up camp around his house in Addis Ababa, one day after police fired gunshots and teargas to break up demonstrations that witnessed casualties.
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