When is the AdC not competent to act?

The AdC is competent whenever the application of the rules for the promotion and defence of competition is at stake. Thus, it is not the competence of the Portuguese Competition Authority to directly solve consumer disputes, whether resulting from decisions by companies or the sales conditions agreed between them and consumers, or from issues relating to after-sales services, invoicing or payment.
In these cases, you may solve a dispute by contacting the relevant entity:

AMT - Mobility and Transport Authority
ANAC - The Civil Aviation National Authority
ANACOM - The Communications Authority
APA - Portuguese Environment Agency
ASAE – Authority for Food and Economic Safety 
ASF - Supervisory Authority for insurance and pension funds
BdP – Bank of Portugal
CMVM – Securities Market Commission
DGC – Directorate-General for Consumers
DGEG – Directorate General of Energy and Geology 
ERC – Regulatory Authority for the Media
ERS – Health Regulatory Authority
ERSAR - Regulatory Authority for Water and Waste
ERSE – Energy Services Regulatory Entity
IGF – Inspectorate General of Finance
IMPIC -Institute of Public Markets, Real Estate and Construction
Ministry of Economy
Public Prosecutor's Office
Court of Auditors