How to Say "under way" in Spanish
The Spanish word for “under way” is “iniciado” — B1 level. This is a very common word in everyday Spanish.

Examples
El trámite ya está iniciado.
The paperwork is already started.
Tenemos un proyecto iniciado en esa ciudad.
We have a project under way in that city.
Una vez iniciado el proceso, no se puede cancelar.
Once the process has begun, it cannot be canceled.
Matching the Noun
Since this word is acting like a description (adjective), the ending must change to match what you are talking about. Use 'iniciado' for masculine things (el proyecto) and 'iniciada' for feminine things (la sesión).
Using it with 'Estar'
When you want to say something 'is started,' use the verb 'estar' (to be) because you are describing the current state of that thing.
Machines vs. Tasks
Mistake: “El motor está iniciado.”
Correction: El motor está encendido/en marcha.
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