In English, reach out means:
Definition of reach out
: **to make an effort to do something for other people
The church is reaching out to help the poor.
From the Merriam-Webster Dictionary.
The best fit here in Spanish is recurrir:
From the Real Academia:
- intr. Acogerse en caso de necesidad al favor de alguien, o emplear medios no comunes para el logro de un objeto.
recurrir in the RAE
reach out in Merriam Webster.
- reach out has colloquially come to mean: to ask for help, also.
- pedir ayuda
There is a slightly different meaning in British English, not really relevant here:
in the Collins Dictionary: to attempt to establish friendly or sympathetic relations (with someone).
But in the specific context here, of reach out again, it could also be expressed as:
- Vuelvo a contactor con usted etc. o Vuelvo a pedir su ayuda o apoyo