Both deals raise competition concerns and are expected to face scrutiny from regulators in the US and Europe.
Netflix's plan has drawn warnings that it would give the dominant streaming player even more power over actors and screenwriters, while putting further pressure on local cinemas.
But a combined Paramount-Warner Bros would also leave it in control of a significant slice of sports and children's entertainment, raising potential concern for advertisers and local television distributors.
Paramount's plans, which would put CBS and CNN under the same parent company, have also been closely watched because of the potential impact on the news business and the Ellisons' ties to Trump.
Analysts said approval would likely hinge on how broadly regulators decide to define the market, and whether players like YouTube are considered part of the competition.
Netflix is relatively new to deal-making.
Some have also suggested that Paramount could be in a stronger position thanks to the relationship between Trump and the Ellison family, including tech billionaire and Republican mega-donor Larry Ellison. Trump's son-in-law, Jared Kushner, is also one of Paramount's financial partners.
But Trump himself has offered little certainty about his views.
Though he has praised the Ellisons in the past, on social media on Monday, he took aim at their ownership of Paramount, triggered by a 60 Minutes interview that the company aired with former Trump ally-turned-critic Marjorie Taylor Greene, a Republican representative.
Previously, he had noted potential concerns about Netflix's tie-up, given the size of the company, while also praising the streamer's bosses.