Ex-world champ Dalaloyan won the men's floor exercise, while Oympic silver medallist Melnikova took the women's vault.
The three-time world champion finished on 14.966 in Penza to clinch top spot ahead of Aleksandr Kartsev, who had beaten Dalaloyan in the all-around final on Friday.
Defending national champion Kartsev scored 14.000 for his floor routine, while Muhammadjon Yakubov completed the podium with 13.800.
On the men's horse, two-time Olympic medal winner David Belyavskiy stepped up to take gold with 14.500.
A 14.100 performance saw Kartev picked up his second apparatus silver medal of the day, and bronze went to Nikita Ignatiev with 14.100 again.
In the final event of the day for male gymnasts, Grigory Klimentev took top spot in the rings with 14.633.
Second place went to Denis Ablyazin with the same score, while Dalaloyan added a bronze medal to his tally thanks to his 14.533 effort.
In the women's events, veteran Angelina Melnikova allayed her own form fears to win the vault with 14.299.
Coming into these championships, the Olympic silver medallist told Olympic Channel that she was unsure how she would perform, because laser eye surgery had forced her to miss training earlier in the year.
“I am not that confident with regards to my form right now," Melnikova said in filming for the original series All Around in which she stars.
The uneven bars saw victory for Vladislava Urazova with a stunning 15.000 routine, with Listunova in second place again with 14.833, and Melnikova in third with 14.666.