The present dataset comes from a small feasibility pilot of the amended remote iPRESS protocol (ClinicalTrials.gov record: NCT04882215). The study was approved by the South East Scotland Research Ethics Committee 01, Lothian NHS board (REC reference: 19/SS/0112). This is an interdisciplinary intervention combining goal management strategy and computerised working memory updating (WMU) process training targeting adults with acquired brain injury (ABI). The aim was to examine the feasibility of delivering the iPRESS intervention remotely and collect data on recruitment rate, adherence, and drop-out rate, as well as test the fMRI protocol on individuals with ABI. Nine participants with ABI were included in this pilot and attended eight sessions of the goal management training (GMT) which took place remotely on Microsoft teams and completed eight training sessions of the WMU program on their laptop/mobile. Before and after the intervention, neuropsychology assessments were conducted remotely using the CANTAB web-testing functionality to assess performance pre- and post- training. Participants engaged with the GMT despite its remote delivery and most of them were able to complete the WMU training. The fMRI protocol included three tasks: a visuospatial matrix updating task, an n-back visuospatial task, and an object location association episodic memory task. The protocol was tested on seven participants who were able to complete all tasks and remained in the scanner for the total session duration. fMRI data for three of those participants were collected at two time-points, i.e. before and after the combine intervention. The purpose is to make the dataset publicly available so other researchers can have access.