He was selected for the Costa Rica national team at the Copa América Centenario and the 2018 and 2022 FIFA World Cup.

[7] On 25 January 2014, Oviedo suffered a broken left leg 18 minutes into the Stevenage vs Everton FA Cup Fourth Round tie.

He sustained the injury from a tackle on Stevenage midfielder Simon Heslop, a clean break to both his tibia and fibula.

[8] Immediately after the game, speaking to BT Sport, Everton manager Roberto Martínez said "A real negative today is the unfortunate incident and we need to give Bryan as much support as we can now.

[11] Oviedo returned from injury on 23 September in Everton's 3–0 defeat at Swansea City in the second round of the League Cup; he started the match before being replaced after 58 minutes by James McCarthy.

Oviedo played in all three games, beating Trinidad and Tobago 2–0, drawing 0–0 with Canada and losing 2–1 to United States.

Oviedo was not named in the team for the semi-final against Honduras but played in the final where Costa Rica beat USA 3–0.

[21] Due to the successful campaign in the U-20 Championship, Costa Rica qualified for the 2009 FIFA U-20 World Cup.

Costa Rica beat United Arab Emirates 2–1 after extra time in the quarter finals and lost to Brazil 1–0 at the semi-final stage.