This was within World Anti-Doping Agency rules as Wiggins had the relevant therapeutic use exemption (TUE) certificate for the medication.
The DCMS select committee said it is "not in a position" to state what was in the medical package but added there is no "reliable evidence" to back up Team Sky's claim it contained a legal decongestant.
In a statement, Team Sky said they were "happy to co-operate with any investigation by the UCI and would welcome further scrutiny of the Select Committee's report".
"I strongly refute the claim that any drug was used without medical need".
But the report says he used it as many as nine times in four years, which Wiggins described as "completely malicious".
"When asked directly whether he believed Wiggins" denials, Lappartient took a long pause.
In an interview with the BBC, Lappartient noted the report and suggested that the CADF should look into its findings.
Lappartient told BBC Sport: "If you are using substances to increase your performances, I think this is exactly what is cheating".
"We have the Cycling Anti-Doping Foundation, they have the power of investigation".
Asked about suggestions of improper conduct in the build-up to the 2012 Tour, Froome said: "I've never seen anything like that, it's not my experience within the team, that that's how the team operates". Prior to that update, a single doctor - often the UCI's Mario Zorzoli - could approve a TUE. "Just by a letter of support from the doctor, then it was not so hard to get the TUE, which is something completely different now". "You have to put this in the context of the time". Teams that joined agreed to adhere to voluntary rules around the use of corticosteroids, among other substances.
However, the British-registered WorldTour squad said that they were "concerned" at the allegations that were made in the report "without providing evidence".
The former London 2012 chief and double Olympic 1,500 metres champion said: "We've read the report and absorbed it and I did not mislead the committee".
Team Sky strongly denies the allegations as does Sir Bradley. "So that's why it's taking some time".
While Lappartient previously requested that Team Sky should keep Froome out of competition until his case is concluded, he has emphasized that the rights of athletes should be respected.
David Lappartient is the president of the UCI.
Lappartient repeated his call for a quick resolution to the salbutamol case of Chris Froome, which remains in limbo. Brailsford's lead rider, Chris Froome, is now building a case to defend himself following an adverse sample for the asthma drug Salbutamol returned during his 2017 Vuelta a Espana triumph.