An extraction system may include a primary extractor that is configured to process a main feedstock undergoing extraction and a secondary extractor configured to process particulate matter separated from miscella produced on the primary extractor. In some configurations, the secondary extractor is an immersion extractor that has a solvent stream flowing in a counter current direction to a direction which the particulate matter flows through the extractor. In operation, the primary extractor can generate a miscella stream containing solvent and components extracted from the feedstock being processed by the extractor. Following separation in which the miscella stream is processed to remove particulate matter, the particulate matter may be charged to the secondary extractor as a feedstock for the secondary extractor. In some examples, the miscella from the primary and secondary extractors are combined and/or the discharged feedstock from the primary and secondary extractors are combined for subsequent processing.