Mirjana Lucic-Baroni dug deep in her first-round clash at the Connecticut Open, while Alize Cornet handed a double bagel to Yulia Putintseva.
Struggling with a shoulder injury in recent months, Lucic-Baroni battled past Anett Kontaveit 6-4 6-7 (3-7) 6-3 in New Haven on Sunday.
Lucic-Baroni suffered first-round exits in Toronto and Cincinnati but the 2017 Australian Open semi-finalist finally had something to cheer about against the world number 28 at the WTA Premier tournament.
"Really tough match, really tough first round," said Croatia's Lucic-Baroni, who will face either Katerina Siniakova or Peng Shuai in the next round. "I think she's playing the best she's played.
"It was a bit up and down, I was getting a bit frustrated with myself not being able to keep the one level the whole time but she picked up and played better so I was really happy overall that I was able to lift the level at the end to get the win.
"It hasn't been a secret that I've been struggling with my shoulder a lot and haven't been able to play. I know I'm playing good, I know I'm fit, I'm strong but it's difficult when your body's not letting you do what you want to do.
"Lucky I'm tough, I'm strong, I'm stubborn. It's been a couple of months but I got my win and now it's like I can relax, it's good."
It was far more straightforward for Frenchwoman Cornet, who blitzed Putintseva 6-0 6-0.
Cornet claimed six breaks of serve to dismantle the Kazakh in just 60 minutes.
Up next for Cornet in the second round is 2014 Australian Open runner-up Dominika Cibulkova.
|Astros´ win streak ends at 12|
|Lahm backs Germany, Low after losing start|
|Messi has all our support – Dybala|
|Strickland apologises for ´stupid decision´ that led to broken hand|
|Five-time Open Championship winner Thomson dies aged 88|
|´Positive´ Pogba not bitter towards media, says Varane|
|Portugal privileged to have ´humble´ Ronaldo, says Pepe|
|Strickland breaks hand punching door after blown save, out for up to eight weeks|
|He will have received good money – Costa delighted by Griezmann extension|
|Kane: Pochettino sent me love hearts after World Cup heroics|
|Nationals place Adams on 10-day DL with broken finger|
|Dybala: I can play alongside Messi|
|Lewandowski: Poland didn´t take enough risks|
|England´s Kane aiming to reach Ronaldo, Messi levels with World Cup performances|
|Kicker given three-year match-fixing ban|
|England confirm Alli thigh injury|
|Federer through, Zverev out in Halle|
|Back on the map and earning letters from ladies, Tabarez embraces Uruguay´s heritage|
|Rampant England rout Australia in record-breaking display|
|Pulisic in right place at Dortmund, says Arena|
|Wilshere confirms Arsenal exit|
|NASCAR at Sonoma: TV schedule, standings, qualifying drivers for Toyota/Save Mart 350|
|Muguruza and Kvitova cruise through in Birmingham|
|Leno among top 10 most expensive goalkeepers|
|Pained Salah unable to halt Russia´s unlikely march|
|Kyrgios downs ´legend´ Murray as Dimitrov and Djokovic progress|
|Neymar pain normal – Coutinho unconcerned by ankle issue|
|Russia 3 Egypt 1: Salah strikes but hosts right on course for last 16|
|We must make Ronaldo less exceptional, says Morocco boss Renard|
|Chandimal handed one-Test ball tampering ban, faces further ICC charge|
|Arsenal sign goalkeeper Leno from Leverkusen|
|Mexico style in Germany win surprised Arena|
|Monaco complete €20m move for Lyon teenager Geubbels|
|Saudi team don´t know cause of aeroplane fire, Pizzi reveals|
|Champions League qualifying draw: Celtic travel to Armenia, Ajax face Sturm Graz|
|I´ve never seen a player win on his own – Santos shrugs off Ronaldo dependence|
|Murray impresses despite narrow defeat on return|
|West Ham land club-record Diop signing|
|El Hadji Diouf hails ´perfect start´ for Senegal|
|Cisse and Senegal give cause for African celebration|
|Carvajal ready to face Iran - Hierro|
|Japan´s World Cup victory over Colombia sparks celebrations on the streets of Tokyo|
|Poland 1 Senegal 2: Good fortune and bad errors hand Africans Group H win|
|England shatter ODI world record with total of 481 against Australia|
|Best yet to come from England hero Kane, says Rashford|
|Salah starts for Egypt against Russia|
|De Jong expects to stay at Ajax|
|Barcelona angered by Pique´s involvement in Griezmann saga|
|Federer begins Halle defence with comfortable Bedene win|
|Tabarez not worried by slow Suarez start|
|Brazil´s Neymar felt pain in his ankle, CBF confirms|
|Griezmann understands Atletico fans´ nerves over Barcelona speculation|
|Queiroz salutes Hierro for uniting Spain|
|Stump from Scotland´s defeat of England auctioned for charity|
|Red Bull will not have works team label, confirm Honda|
|Neymar hobbles out of Brazil World Cup training|
|Ronaldo´s revelry, Messi´s miss and Sanchez´s shocker - Russia 2018, World Cup of the penalty|
|Brazil ask FIFA to explain VAR decisions against Switzerland|
|Colombia 1 Japan 2: Sanchez red spoils Pekerman´s plans|
|Argentina v Croatia: Mercado wants an end to ´Messidependencia´|
|Hoffenheim director suggests €50m bid could land Kramaric|
|England will emerge as a ´champion team´, insists Jones|
|Ryder Cup teams shaping up great, says Strange|
|We cannot replace Iniesta – Abidal|
|Colombia´s Sanchez sees second-quickest World Cup red card|
|France v Peru: Varane and Les Bleus calm after unconvincing start|
|Semenya challenges IAAF hyperandrogenism rule with CAS|
|No Germany line-up changes needed, says Neuer|
|James absent from Colombia line-up|
|Alli to have scan on thigh knock after England win|