insinuate

verbs

introduce or insert (oneself) in a subtle manner
"He insinuated himself into the conversation of the people at the nearby table"
insinuate
is a type of (narrower)
bring in a new person or object into a familiar environment
"He brought in a new judge"; "The new secretary introduced a nasty rumor"
bring in, introduce
give to understand
"I insinuated that I did not like his wife"
adumbrate, insinuate, intimate
is derived from
insinuation