The two were among those invited to try out for the Canada senior women's team over the weekend at McMaster University's David Braley Athletic Centre.
Alexander is embarking on a professional career with the San Antonio Silver Stars after a hugely successful four years at Syracuse University, where she became the all-time leading scorer in the women's program.
Achonwa would appear to be a lock for the Canada team that is going to compete at the FIBA Americas Championship in Mexico, a qualifying event for the 2014 FIBA World Championship in Turkey, while Alexander could be an uncertainty due to her WNBA commitments.
Canada, now coached by Lisa Thomaidis, are going to have a very busy summer getting ready for the FIBA Americas Championship.
They are to travel to Prague to square off against the Czech Republic (28-29 May), and they will also play in friendly tournaments in Serbia (31 May-2 June), France (7-9 June), China (5-12 July) and Brazil (15-18 August).
Canada women's squad: Natalie Achonwa, Kayla Alexander, Miranda Ayim, Janelle Bekkering, Krysten Boogaard, Justine Colley, Nirra Fields, Ruth Hamblin, Kalisha Keane, Miah-Marie Langlois, Lizanne Murphy, Kia Nurse, Krista Phillips, Courtnay Pilypaitis, Katherine Plough, Michelle Plouffe, Emily Potter, Nayo Raincock-Ekunwe, Karly Roser, Kendell Ross, Stephany Skrba, Kim Smith, Alisha Tatham, Tamara Tatham, Shona Thorburn, Jamie Weisner, Taryn Wicijowski, Korissa Williams and Emma Wolfram.