The word fallecía is the imperfect form of fallecer in the first person singular. There are other translations for this conjugation.
See the full fallecer conjugation

fallecer

Lamentablemente, el 6 de mayo de 2001 fallecía en Nairobi el primer Presidente del Tribunal para Rwanda y Magistrado Presidente de su Sala de Primera Instancia II, magistrado Laïty Kama (Senegal), a consecuencia de una enfermedad.
Meanwhile, in an unfortunate development, the first President of the Tribunal for Rwanda and Presiding Judge of its Trial Chamber II, Judge Laïty Kama (Senegal), passed away on 6 May 2001 in Nairobi as a result of illness.
- Señor Presidente, hace pocas semanas fallecía apuñalado en el metro de Madrid un joven, Carlos Palomino -tenía nombre- en un choque con neofascistas.
- (ES) Mr President, a few weeks ago a young man by the name of Carlos Palomino lay dying of stab wounds in the Madrid metro following a clash with right-wing extremists.
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