Gathering evidence from several countries and reconciling inconsistent internal documents. Neither is a government step, and both are within the organization's control if started early. Qualifying employment abroad has its own timing rules, generally one continuous year within the relevant preceding three-year period, assessed case by case.
Front-load the cross-border requests
Send document requests to other offices before counsel needs them, allowing for holidays, local approval processes and colleagues who will ask why. Set a date for the reconciled chart, another for counsel's review, and only then discuss travel. Keep petition approval, visa issuance where applicable, admission and permission to begin work as separate milestones, since the business will otherwise plan around the earliest of them.
Add one dependency that distributed organisations produce more often than others: the availability of colleagues in other countries who have no particular reason to prioritise this. A request landing in another office competes with that office's own work, arrives during a holiday period nobody in the requesting country was tracking, and may need local approval before anything can be sent. Ask for those documents first, name the person responsible in each location, and give each request a date and a reason.
Hypothetical example: a building-products maker sends four cross-border requests in week one and receives three within a fortnight, while the fourth takes two months because it required a legal review in a jurisdiction where nobody had thought to ask whether one would be needed.