Multiple sources tell PEOPLE that although the couple originally hoped to reconcile, a reunion might not be in their future after all. 

"They had both been wearing their wedding rings and had mutually thought they might be able to work it out," one source says. "But it doesn't look like it's going that way." 

In fact, less than a month after the couple confirmed they were separatingafter nearly seven years of marriage, Seal was spotted sans wedding ringearlier this week in Australia – a contrast from his earlier sentiment that he had "no intention of taking [his ring] off anytime soon." Klum has been spotted out without her ring as well. 

The couple also spent Valentine's Day in different countries, as Seal worked on The Voice in Australia. Klum, 38, kept close company with her friends in Los Angeles at the Soho House. 

Earlier in the month, it was business as usual for the supermodel mom and their brood: Leni, 7, Henry, 6, Johan, 5, and Lou, 2. 

Between karate and ballet classes, "Heidi was in a good mood," a source tells PEOPLE. "She seemed happy to be back to her regular Saturday routine with her kids." 

Although Seal returned to the States to see his children before he jetted Down Under, he did not spend much time with Klum, the source adds. 

"They have had very little contact and Heidi wants to keep it this way," the source says. "She feels less stressed out now and feels it's best to be away from Seal, so she doesn't get confused about her feelings."