eimmigration's software overview says the data points open to custom reports include client background information, and its pricing page lists an Assignee/Status/Petition feature among the standard case features. Whether every column of the Monday report is among those data points is the first thing to have the vendor show.
The priority level is a field the firm would define itself. eimmigration's practice management page describes an administrative portal where administrators set up data fields and the values each one accepts, including custom fields and dropdown lists. A fixed list of High, Normal, and Low avoids inconsistent priority labels. In the demo, ask the vendor to add that field and then use it as a column in a custom report.
The firm would then want the layout saved as a template, shared with the partners, and run on a schedule, which are the functions eimmigration describes for custom reports. The pricing page lists Standard Reports among the features in every plan and Custom Reports & Report.AI among the premium features, so the quote should name it. WhatIsBest's comparison of immigration law software for US law firms sets out how many premium features each eimmigration plan includes, beside the plans of Docketwise and INSZoom.
eimmigration also describes an Office Tickler dashboard with charts for the team's reminders, upcoming process steps, document expirations, and overdue invoices. A firm whose Monday questions are about deadlines and unpaid invoices can look at that dashboard before it builds anything. The invoice chart depends on billing records being in the same system, and AnswerStack's answer on billing and trust accounting in immigration software explains which products and plans include billing.