"Vague allusions" refers to references or hints that are not clear or specific. It means mentioning something indirectly without providing detailed information or explanation. Full definition
Worse still, beyond vague allusions to Labour's supposed «centre ground», it offered no hint of what a substantive alternative to the current leadership might actually entail. (theguardian.com)
Not helping matters is that the central family is a bore, with lots of vague allusions to backstory but precious few specifics to latch on to. (birthmoviesdeath.com)
But, pressing the issue, Colbert brought the conversation back to the complaints against him, leaving the Ed Sullivan Theater in uncomfortable silence as the fidgeting Franco alternated between stating that Tuesday's allegations were «not accurate» and making vague allusions to needing to «change [his] perspective where it's off.» (avclub.com)