The EU’s General Data Protection Regulation (GDPR) does apply to Personally Identifiable Information (PII) acquired from the public web and so if you intend to collect data from the web about European Economic Area (EEA) residents, then you need to design your Web Data Integration (WDI) project with GDPR compliance in mind.
If you are working with Import.io on a managed WDI project then Import.io can work with your project and legal teams to help you do this, although ensuring that your processing and use of the collected PII is GDPR compliant is ultimately your responsibility. For WDI projects where the collection of PII is not the primary objective then Import.io offers a feature that will automatically redact PII from your web data to give you confidence that your WDI project will not inadvertently become subject to the GDPR due to the accidental collection of PII.