Early career Bumba made his debut for
FC Baia Mare on 10 October 2009, aged 15, in a 1–1
Liga II draw with
Gaz Metan CFR Craiova. After the dissolution of the club, he chose to stay in the city with the newly-founded
FC Maramureș Universitar Baia Mare, which he aided in achieving promotion to the second division.
Târgu Mureș Bumba moved to
FCM Târgu Mureș of the
Liga I in June 2011. On 22 July that year, he registered his debut in the competition in a 0–1 loss at
Dinamo București, and on 15 October scored his first league goal to earn his side a 1–1 away draw at
Sportul Studențesc. In February 2012, former Târgu Mureș manager
Maurizio Trombetta confirmed that Italian team
Udinese was monitoring Bumba. On 25 March, he netted in a 2–0 win over
Astra Ploiești. In May, he was included by website and TV channel
Sport.ro in a top ten list of Romanian youths to watch. Bumba finished
his breakthrough season in
Târgu Mureș with three goals from 29 appearances, but his performances could not help his team avoid relegation to the Liga II. In the summer of 2012,
Roma paid
€600,000 to loan Bumba for one season. On 6 September, after recovering from an injury, he scored for the
under-19 team in a 2–1 defeat of
Inter Milan in the
Supercoppa Primavera. Bumba returned to Târgu Mureș in July 2013, after the club changed its name from "FCM" to "ASA 2013". On 11 January 2015, Bumba penned down a three-and-a-half-year deal with fellow Liga I club Astra Giurgiu, but after less than a month returned to ASA Târgu Mureș due to a breach of contract. He amassed 31 appearances and eight goals during the
2014–15 season, as his team finished second in the league championship with only three points behind
FC Steaua București.
Hapoel Tel Aviv On 19 June 2015, Bumba transferred to
Israeli Premier League team
Hapoel Tel Aviv in a move worth €650,000. He signed a four-year contract and was assigned the
number 7 shirt. His debut was recorded on 1 August, starting in a 1–3
derby loss to
Maccabi Tel Aviv in the
Toto Cup. Bumba featured in 31 games and scored two goals in all competitions during
his first campaign in Israel, as Hapoel finished ninth overall in the national league. In the winter of 2017, he chose to leave the club because of unpaid wages.
Dinamo București / Concordia Chiajna In February 2017, after a move to
CFR Cluj fell through, He scored his first goal for "the Red Dogs" on 10 April, in a 2–1 league win against Astra Giurgiu. Bumba won his first major trophy on 20 May 2017, following Dinamo's 2–0 defeat of
ACS Poli Timișoara in the
Cupa Ligii final, despite not making any appearances in the competition throughout the
season. On 24 August, the club announced the termination of Bumba's contract on a mutual agreement, and one month later he moved to
Concordia Chiajna. On 27 September 2017, less than a week after joining Chiajna, he made his debut and netted in a 3–2 Liga I win over his previous club Dinamo București.
Adanaspor Bumba changed countries again on 20 July 2018, after agreeing to a two-year deal with Turkish team
Adanaspor. He contributed with three goals from 27 appearances during his first and only
campaign in the
TFF First League.
Kisvárda / Fehérvár On 19 July 2019, Bumba signed for Hungarian club
Kisvárda on a two-year contract with an option for another year. He made his debut on 31 August, entering as a 64th-minute
substitute in a 0–3
Nemzeti Bajnokság I loss to
Fehérvár. On 24 June 2022, Bumba was formally unveiled as a Fehérvár player after agreeing to a two-year deal with the team. ==International career==