The Fundação para a Ciência e Tecnologia (FCT) will open a call for PhD and Post-Doctoral fellowships, from 15th June to 15th July 2016. The positions are for up to 4 and 6 years, respectively for PhD and Post-Doctoral applications (tuition fees are covered in the case of PhD fellowships). The selection is done by FCT.
The Instituto de Astrofísica e Ciências do Espaço (IA) welcomes pre-applications until June 30th, 2016.
More details in the IA announcement page.