I've decided to address both of the possible senses of the question
suggested by my colleague pinkfreud-ga and commenter flybd5-ga.
First, 'Human Fertilisation and Embryological Authority' translates
into Spanish as "Autoridad en Fertilización Humana y Embriología".
The Spanish institution that seems to be the closest to the HFEA would
be the National Commission for Assisted Human Reproduction (Comisión
Nacional de Reproducción Humana Asistida). However, the equivalence is
not exact, since this one is a consultative organism -- whose
resolution are mandatory in certain cases -- and the issuing of
authorizations for practice lay on local authorities of the health
system, which rule over any type of health institutions -- anyway,
under guidelines originated in the above-mentioned Commission. While I
couldn't find neither a website nor contact information for the
Commission, supporting what I've stated above, at this URL
(http://www.bioetica.org/norma10.htm ) there is the decree that
regulates its functioning, at this other one from the there is the law
that describes its role
). Also, it is a dependency of the Ministry of Health and Consumption
(Ministerio de Sanidad y Consumo - http://www.msc.es/).
I believe this answer should satisfy your requirement.
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