The first wave of free agency is over. That doesn’t mean the New Orleans Saints are done.

Even after their flurry of moves last week, the Saints continue to explore their options. That’s because NFL teams consistently seek upgrades, and New Orleans is no exception. And the Saints know they can’t plug every hole in a week’s span.

“There’s plenty of stuff to navigate,” coach Kellen Moore said last week.

Here are the three spots they notably have left to tackle.

Cornerback

Notable free agents still available: Trevon Diggs, Marshon Lattimore, L’Jarius Sneed, Adoree’ Jackson

Alontae Taylor left the Saints to sign a three-year deal with the Tennessee Titans, creating arguably the biggest hole on New Orleans’ roster. Specifically, the Saints will have to replace Taylor’s presence on the inside — a role crucial in defensive coordinator Brandon Staley’s scheme. But keep in mind that doesn’t necessarily have to be filled by a cornerback. Staley loved using safety Derwin James inside when he coached the Los Angeles Chargers. That makes Ohio State safety Caleb Downs a tempting selection if he’s still available when the Saints draft eighth overall in April.

Regardless of whether Downs is available, the draft probably makes the most sense to replace Taylor. LSU’s Mansoor Delane is seen as the best cornerback in this year’s class, but there’s solid depth if the Saints prefer not to address the spot in Round 1.

In free agency, there are several veterans who would be reclamation projects at this stage of their careers. Sneed, for instance, fits what the Saints have pursued in recent years, as he has local ties and once played for the Kansas City Chiefs, but hasn’t looked like the same player since injuries derailed his two-year stint with the Titans. General manager Mickey Loomis has shown a willingness to bring back former Saints, though it would be surprising to see that same courtesy extended to Lattimore, given his decline in play, the major knee injury he suffered last season and his weapons charge arrest from January.

Wide receiver

Notable free agents still available: Jajuan Jennings, Stefon Diggs, Keenan Allen, Tyreek Hill, Deebo Samuel

The Saints have done a nice job in free agency to boost quarterback Tyler Shough’s supporting cast. But there’s one area they notably haven’t touched: Wide receiver.

Taking a look at this year’s draft class explains why. Ohio State’s Carnell Tate, Arizona State’s Jordyn Tyson and USC’s Malaki Lemon are seen as first-rounders who could each provide a jolt to the Saints’ offense. There are also quality options projected to go in the next few rounds, such as Louisville’s Chris Bell and Georgia State’s Ted Hurst. Based on conversations at the NFL scouting combine, the Saints feel as if another downfield threat to complement Chris Olave and Devaughn Vele would accentuate the group.

The Saints don’t seem to be alone in wanting to rely on the draft for this position. So many big names remain on the wide receiver market, and that’s before you get to the Philadelphia Eagles being open to trading A.J. Brown.

Edge rusher

Notable free agents still available: Cam Jordan, Joey Bosa, Von Miller, AJ Epenesa, Jadeveon Clowney, Haason Reddick

All eyes are on Jordan and Saints to see if they can hammer out an agreement for the 36-year-old pass rusher to stay in New Orleans. Jordan sounded content, however, if he had to play elsewhere next season when appearing recently on Terron Armstead’s podcast. Jordan said he understands the “business nature” if it doesn’t work out with the Saints.

But even if Jordan returns, the Saints still probably need more juice at edge rusher. One of the biggest questions between now and the draft is whether any of Ohio State’s Arvell Reese, Texas A&M’s David Bailey and Miami’s Rueben Bain will be on the board when the Saints are on the clock. The Saints heavily invest in the trenches, and so it would not be shocking to see them use the eighth pick on an edge rusher. But those three could each be gone before pick No. 8.

Like Jordan, Bosa, Miller and Clowney are decorated pass rushers hoping for another shot. Of those, Bosa has experience playing under Staley. Could he be a fallback option if Jordan departs? It’s unclear whether the Saints are interested, and Bosa could always look to team up with his brother, Nick, in San Francisco, if the 49ers want him.